Not sure where I read that you are NMF. I would say with your GPA that FSU and UGA are not target. They are reach.
Alabama, UAH would great deals to get you to your $$ - in addition to those others have listed.
You can’t have $$ and all you want unless you go to schools with automerit or have huge need…so when chasing merit, you have to go where the $$ are - hence Alabama.
None of these schools will hurt you for law school.
While I can appreciate you wanting Tulane or Davidson, they are highly unlikely. And $20K - well there’s few schools that can get you there…check Lousiana Lafayette too.
If law school is the goal, the LSAT will matter more than if you go to LSU or Davidson.
Good luck.