Buds Gun Shop
has an indoor range. There's an outdoor range in the south end of Pulaski Co. (though that's not really central Ky.). The outdoor one is not monitored though but it's usually pretty quiet. I shoot here on our land or on a couple friends places and have not really been to many ranges around here.
Buds is a must see anyway weather you use the range or not. Seen them do a trade for a couple pallets of dog food some years back.
They have great deals in the shop on some quality weapons. The range is pretty nice. There's a link to some pics of the range there on Buds site
I think still