This is a 12 hour drive. There are two main ways you can go. You can go from Annapolis
up to Baltimore
and out I-68 and I-70 to Morgantown
and then down I-79 to Charleston (West Virginia)
. Charleston is a little less than half way (5.5 hours) but is a nice place to stay. You can go a little farther along the road if you want to make it closer to half way. Then take I-64 to Lexington
(which has KY Horse World), Elizabethtown (Kentucky)
(Stephen Foster park), and then on to Paducah
. That is the way I would prefer.
You can also go west around Washington, DC
out I-66 to I-81. That takes you by Roanoke
. This is a nice drive along the east side of the mountains. The halfway point is a small place called Abingdon (Virginia)
. Then you go through Knoxville
on the way to Paducah.