M91 was my base airport when I lived just north of Nashville. I moved 2 years ago to Georgia, so consider this slightly old...
M91 (Springfield) offered ehtanol-free MoGas on field. No resturants nearby and there wasn't a loaner car or anything else available to get you into town. It does have an excellent localizer approach with a long runway if the weather is not good, but sitting up a little higher than the airports south of it (KJWN for example) means that the clouds take a little longer to lift if there isn't wind.
Outlaw field in Clarksville (KCKV) has an on-field resturant (diner) that is sometimes open, sometimes bankrupt and closed. Call the FBO to see what their status is. Keep clear of the west side of the field as that is restricted airspace for the Army.
None of the Kentucky State Parks have fuel that I'm aware of, but they do have good food. Rough River State Park's lodge is close to the runway, so that's an option if you want a resturant menu.