I can't speak for FL, but in MA (a fairly strict state as far as venomous pets is concerned) there is no permit required to keep hognose. Rear fanged species like hognose and mangroves aren't classified as venomous.
I could be mistaken here, but I believe Eastern hognose are native to FL, so may not be legal to keep. However, I'm assuming you're talking about Western hognose since they're the far more common species in the pet trade.
And since hognose aren't a threat to the invasive snake population, like burms and retics are, I would think no permits are required. But, again, I could be wrong.