Coverage & Claims
You have a couple of options here. If you own the vehicle outright, meaning you don't have a loan on the vehicle or aren't leasing it, you can drop your coverage for the period you are not driving.
For the state of Florida, you will have to maintain the liability limit (10/20/10) if the vehicle has plates. You can compare rates for Florida's state minimum here.
I recommend looking through your policy documentation and see if there are any stipulations regarding your responsibility during winter months. Some require you have your home above 60 degrees to prevent damage to your pipes or keep the faucets dripping as to prevent the pipes from bursting.