Lake City is round that area. Honestly, there are many hotels from I-10 to Orlando on I-75 etc. I have been to every single one.
Here is the story (there is a moral). For our last trip we were going to stop somewhere around I-10 & I-75 just like you are. Well....Every hotel in Lake City was full.....no problem, I'll just go to the next town.....full....I'll stop in Gainsville surely there is a room there.....full....Ocala.....you guessed it...full. I stoped at every single exit and went to every single hotel from I-10 to Orlando and they were all full. We called the Swan when we got past Ocala and they were very nice and allowed us to check in at 4:30am. They were very nice and did not charge us for an extra night. Usually the day changes over arond 6:00am and check in is not until 3:00pmish, as you know. I look back now and it is quite funny, but at the time I was exhausted.
The moral is.....Make a reservation, do not assume that they will have a vacancy.
have a safe trip
Ryan