Fort Payne, Alabama
If you're going to be there with a baseball team, I assume there will be children with you. There is a Hampton Inn in Fort Payne that would be kid friendly and they offer free breakfast. As far as food, I've never seen anything there but a few chains, such as Ruby Tuesdays and Santa Fe Cattle Co. You might ask at the front desk for suggestion for local restaurants.
Santa Fe Cattle Co
4251 Courtney Dr, Tuscaloosa, AL 35405
Eat at the Wildflower Cafe in Mentone.
There aren't many places around there that will accept one day stays. Not sure of your budget but you might be able to find a large group cabin that is inexpensive enough to pay for two days and only stay one.
I've used Mentone Cabins and like them a lot.
Something like this will sleep a lot of people for about $550. Split between several families it might be worth it. You might need two cabins though.
6081 Al Highway 117, Mentone, AL 35984