Turkey Run State Park has miles of bridle trails, so you can enjoy guided horseback rides. Inquire at the saddle barn. (Sorry, you can't bring your own horse.)
While you're at the saddle barn, also ask about hayrides.
The saddle barn is open from April through October 9am - 5pm (weather permitting). The saddle barn is closed in the winter.
For more info call the Saddle Barn at 765-597-2280.