Welcome Scott!
There is indeed a wealth of information on this site! Get ready to drink from the fire hose!
:lol:
I think you would be best served with a form of mid-drive personally, as you have stated, your goal is low speed high torque hill climbing.
No mater what hub motor you select, there will be generally a narrow application especially off-road to keep any hub motor in it's effective climbing "power band".
Don't get me wrong, knowing the limitations of the hardware, and keeping track of the hub motor's heat and speed can allow you many years of trouble free operation with minimal trouble, however, I would strongly recommend that you stay with the higher out-put hub motors (500W or more) and realize that you are either going to need to out-cool and out voltage them to get the performance you want, or accept much greater limitations over a mid-drive.
Not all mid-drive set ups are terribly pricey or difficult to install.
Given the handiwork that is the off-road hand bike in question, this would be child's play for you builder.
I am currently putting together a low cost mid-drive that will rival the price of a hub motor and battery using a similar platform in the form of a recumbent two wheel bicycle (Vision R40) with a 650W "Trike Motor" sold by Golden Motor.
http://www.goldenmotor.com/
This motor will allow me to take a mid-drive using closer to just 1000W of power and accomplish what would require easily 2000W of power with a comparable hub motor set up for one simple reason: gearing.
The simplicity and ease of operation of a hub motor can no be beat, however, it has some limitations, namely, the diameter of the wheel that the motor is laced into is the set "gearing" it is restricted to, and unless it is a geared motor, this means it is inherently inefficient (think of a tractor with only one working gear in the transmission, too low and it will never give you speed, too high, and the motor will struggle most of the time against the too tall gearing until it reaches the optimal speed it is geared for, however, the hub motors, especially the direct drives are pretty forgiving, much like a tractor motor, but not very efficient unless traveling at enough speed, which it would seem is not what you are looking for, but a hill climber).
I have a favorite model of DD (direct drive) hub motor, most commonly called a "9C" or nine continents motor. The one that I have that also just happens to be one of the most versatile is the 9 x 7 winding motor made by Amped Bikes.
This is not a low speed motor, more on the high speed side, but it generally will give you good performance just by adjusting the voltage given to it (high voltage increases RPM's of the motor, thus generally efficiency and top speed).
With just 48V of the standard Lithium Iron Phosphate battery (LiFeP04), this motor will charge up the local hill of 10% - 5% grade at 12 MPH and not break a sweat or get hot, this hill is about 2 miles long. This is from a no-pedal start, on even steeper than 10% grade going over rail road tracks at the beginning, this motor quickly took my 180lbs body and a 75lb E-Bike up to 12MPH very quickly and maintained it no problem.
However, using this very same motor separated from the wheel, acting as a mid-drive, similar in principal to how the stoke monkey works, I was able to do the exact same task on 3 separate occasions each time using only about 34% of the same energy!!
This means, with less battery, you can do more, or dramatically increase your range with a current battery. This sounds incredible until you realize that the motor being out of it's efficiency zone lugging around at slow speeds converts about 50 - 60% of the battery power or watts to heat instead of working force propelling you forward.
With the proper gearing, this same motor moving in it's most efficient speed, not only cools it's self more naturally because it is spinning faster, but will convert that same amount of watts into up to 80% of the power given into working force and very much less heat.
Also, especially if you are wanting slow speed up steep grades off-road where you're likely to have to stop and start again on such steep grades, you risk the very real possibility of burning up a DD hub motor or even a geared hub motor (remember, the geared hub motor still needs to be able to turn that wheel at a certain minimum speed to remain efficient, and geared hubs have a much harder time shedding heat than DD hubs) at too low of a speed.
Many of the mid-drive systems off the shelf are going to put you very close or over that $1500 budget including a battery to go with it (considering an average battery to do what you need will be in the $400 - $600 range) but as I said before, there are other solutions that would be well with-in that range, especially with the many more options that come with using a recumbent trike as the platform for installation.
A very simple easy to construct design would be one built by Rassy using the same 9C motor at a different winding (6 x 10 if I remember) here:
http://endless-sphere.com/forums/viewtopic.php?f=28&t=18606&p=271230#p271230
(Most of the pictures aren't working but should be remedied soon.)
And there are others that have higher powered systems that allow incredible power using very powerful R/C motors used in large scale model helicopters and such that can go 40+MPH!!
My own set-up will be using a 45V Lithium Polymer Battery (LiPo, if LiFeP04 is aviation gass, then LiPo is Top Fuel Dragster stuff!
) and using a NuVinci CVPT (Think automatic transmission like in a car, but with unlimited "gears" between the 350% range) as the transmission for both my motor and the pedals.
My build link is here:
http://endless-sphere.com/forums/viewtopic.php?f=3&t=29810
Just to give you an idea of costs (shipping included):
Motor ...............................$167.00
Custom Lyen Controller..........$189.00
Battery & Charger etc............$650.00
NuVinci Hub & Custom Wheel ..$399.00
Misc. Gears/brackets etc. ......$200.00
Total ..............................$1605.00
And this is on the high-end, you could easily take $200 off that by using lower cost "over night" battery chargers and such (I am using something that will easily charge my battery as a whole in 1 hour or less) and even more using a hub motor, but for the variety of off-road performance and street performance it's pretty hard to beat.
You could also save another $79 and buy one of the "Developers Kits" type of the NuVinci hubs for $150 instead of $229 and have an automatically shifting NuVinci rear hub that would be pre-programmed by you to do any number of functions including maintaining the same RPM at the pedals regardless of the speed/load you are presented with (hills, higher speed on flat ground etc.) that would allow you to have the exact same cadence or RPM at the pedals at all times!
Here is a link to the Developer's kit for purchasing as well as other ES members who are using them:
http://endless-sphere.com/forums/viewtopic.php?f=28&t=30641
I know it adds more complexity, but given the application, I would think an automatic shifting rear hub might be really useful for your purposes.
Again welcome to ES!!
And I am also excited to see what you come up with, any way we can help you with information (I know you're just trying to stay above water reading all this information he he, I know I was when I first came here!
) please let us know!