Mel,
You may try some of the hotels for business travelers that have a small kitchen, stove, microwave etc. My wife had to stay in Jacksonville last winter for a job and they rent by the week. Florida is a long state but not very wide so you can get to anywhere in a few hours.
If all else fails, I can talk to the wife, we have a guest bedroom, and bath, pool in the yard and the beach is 15 minutes away. I'll take your $3,000!
Christmas Day, temps are in the high 70's to low 80's.
Bill from Florida