The trick to beating LSU starts with your offensive line. You have to run between the tackles right at Mingo on 1st and 2nd down, keeping yourself in manageable 3rd down situations. If you're in 3rd and long all game, their front 4 will make it a long day for the quarterback, and their DB's are too good in coverage to force throws. Even if you're not getting any yards, you still have to stay committed to the run game.
Secondly, attack the flats in the passing game. Make their linebackers run sideline to sideline to cover your backs and TE's out of the backfield. You'll have some opportunities to hit 'em deep with wheel routes in one-on-one situations versus their linebackers if you keep attacking the flat in the passing game. There's not many offenses that have the matchup advantage in their favor over LSU when it comes to your receivers vs. their secondary.
I think the strategy for LSU defensively against Florida is going to be the same adjustment Muschamp made for the 2nd half of the Texas A&M game. LSU will play a lot of Chavis' stock C2 against a mobile quarterback in Driskel and force him to beat 'em from the pocket. DB's wont turn their back and run with receivers in man coverage so Driskel can scramble to convert 1st downs. They'll be in zone reading his drop, forcing him to make accurate throws in tight windows with timing.
There ain't nothing like the chess matches that go on the SEC anywhere else.