As long as you keep your "home" address as your permanent address, you don't have to change anything...plus pretty much every state gives a pass to students...but you do need to keep residence in your original state, so if you are moving and you don't have a parent or relative to let you use their address as yours, you are out of luck and have to change everything.
There are some drawbacks...you can't vote in Florida, but you can always vote by absentee. You won't get Florida resident discounts at the theme parks, because there is always time for roller coasters, even in med school. Also if Nova gives tuition breaks to state residents, then you won't get those...but when it comes to this, most schools use your address on your application for this, and won't let you change that after matriculating, so this probably wouldn't be a factor for you anyway.
You can always switch your license and not bother switching your registration...its perfectly legal to drive a car from out of state, as long as that car is registered to a real address in your home state. That way you don't have to pay for registration and new plates in Florida...especially if you end up moving away for rotations and have to change it all over again in a new state since you won't have a Florida residence anymore...
The major drawback to this is you have to drive the car back to maryland every year to get an inspection sticker...so just make sure that you get it done before you leave this summer because if it expires in March or something, well that'll be a headache.
But it probably would be easier to keep your car registered, at least, in Maryland. Whether you change your license is up to you.