This is probably not the very best place to park ... but this is what I would do if I were staying where you are: for a small parking fee (about $8), you can enter the Kentucky Fair and Exposition Center, drive around to the northwest side of that big complex, and park as close to KFEC gate 4 as possible. Then you can walk across Crittenden Drive, down Central Avenue, turn right at Floyd Street and viola - you have arrived. It's less than a mile walk.
I agree. It is a 10 minute walk if you walk slow.