I am originally from Paoli, about 10 miles east of French Lick, you will likely drive through Paoli on your way from Louisville.
Try Superburger on Main Street in Paoli. Good burgers.
The casino has a few places to eat, try Diamond Jim’s (directly in the casino) and avoid the buffet, overpriced for the amount of variety (Caesars buffet in Harrison Co Indiana is MUCH better).
And, yes, French Lick may be a small hick community, but small towns have big hearts! The casino is owned by Bill Cook of Cook pharmaceuticals, not Donald Trump, so there are no gold toilet seats.