It's a job for a 150cc or larger motorcycle or scooter really. Or similar frame electrified.
What you want is simply beyond the capabilities of anything "designed for a bike". Even the most robust motors are going to be over watted to reach that speed, and then you are walking a fine line with your controller choice. Every bit you cross that line to get to 50 mph, or near there, is going to be making heat. That's fine for about 10 miles, but by 15-20 miles many bike intended motors are going to be melting.
Then there is the battery size issue. Every 5 mph more speed is going to increase the wh needed a lot. Low and aerodynamic will help a lot, like a recumbent bike, but you are still going to be looking at a lot of weight to somehow carry on a bike designed to carry perhaps 20 pounds of cargo, or none at all. I also think TD's math is pretty close. Consider the weight of 72v 40 ah. It's about 50 pounds if you use lipo. 60-70 for lifepo4. That much weight on my bikes makes them handle a lot worse, even when carried in an ideal location. It's the poor lateral stiffness of a typical bike frame, compared to a motorcycle. High speed wobble is no fun. Got years of experience with motorcycles? You better, when you get the wobblies on an ebike going 50 mph.
Now, you shorten that ride length to 10 miles or so, and then the problems are much more solvable. You just cut the battery weight from 50 pounds to 10-12 pounds. Now the bike can be comfy enough at 50 mph. And the motor meltdown is likely to be after 10 miles riding.
Lastly, Aren't florida cops notorious for stomping on ebikes and scooters that don't comply with thier hugged up moped law? You'll be riding on a completely illegal, homemade, unregistered motorcycle. Perhaps with no drivers licence as a cherry on top?
The budget for nearly impossible is nearly infinite, especially if they take your bike. It can be done, but not cheap. Battery budget can easily be a couple thou including the charging and monitoring, wiring, connectors. Then you'd need to weld a frame able to accomodate a motorcycle hubmotor, or go with a very powerful motor through the chain. Not the bike chain, but a strong chain on the other side of the wheel, like the gas bikes do it. Rims and tires need to be moped stuff at least. Almost, if not definitely easier to just build the frame from scratch. I would think 3-5 thou would eventually be spent.
Propose to do the same thing for 20-25 mph, and then you are back into the comfortable envelope for "bike stuff". And on a budget not much over $2000.