RE: Kentucky I-24 for lamb ribs
Milt, if you're traveling from Nashville through Paducah via I-24, you'll probably miss the counties that serve barbecue mutton. That southwestern region of Kentucky is better known for their country ham than barbecue. Indeed, you'll be missing the barbecued mutton region by 100 miles.
Barbecued mutton is served in restaurants primarily in north-western Kentucky along the Ohio river. There may be some exceptions here and there, but that's where you'll find it. You'll find it mainly in the cities of Owensboro, Henderson and Waverly (between Henderson and Morganfield), Kentucky. Stay on U.S. 60 in either direction when traveling though those cities and you'll be in easy reach of a restaurant serving barbecue mutton.
The closest restaurant that I know of that serves barbecued mutton near Paducah is about a half-hour's drive north of that city on U.S. 60. (Trackside Barbecue in Sullivan, Kentucky which is on the northern tip of Crittenden county.) Sullivan is between Marion and Morganfield, Kentucky.
Owensboro deservedly gets a lot of barbecued mutton's publicity, but Peak Bros. Bar-B-Q in Waverly, Kentucky (between Henderson and Morganfield on U.S. 60) deserves to be investigated. Their barbecued mutton is a little spicier but just as good as that in Owensboro. The beef and pork is just as good.
Check them out if you are so inclined:
Peak Brothers Bar-B-Que Restaurant, (270) 389-0267, U. S. Highway 60 West, Waverly, KY 42462