We went to Jackson Center this past September and stayed at the Kentucky Horse Park. This was the last campground we stayed at before we arrived at Jackson Center. Kentucky Horse Park is right off Interstate I-75 (exit 120), open year round, and about 185 miles from Jackson Center. It is a straight shot up I-75 until you get off the interstate to go to Jackson Center.
We liked the Campground so much we wound up extending our stay. If you have a few extra days at the Kentucky Horse Park Campground, the Museum which makes up part of the complex is great.
Also just up I-75 a few exits is the Toyota Manufacturing Plant. They offer a great factory tour. Just call for a reservation.
The Ark Museum is also about 30 miles up I-75.