voting and driver license issues with full time

Yes, you can still vote. Yes, you will need to update the address on your driver's license as the mailing service address will be your legal address. You should not have any issues. Not sure which you have chosen but I would suggest you use the Escapees FL mailing address and look to their site for details. We have been a Texas resident at the Livingston, TX address for many, many years without issue.