If you have never been to an AQS show I would go to the one in Chatanooga if the other choice was just to go to Paducah to shop. Don't get me wrong...Paducah is a great place to visit. Especially during the quilt show in April. I live close by and things really get ramped up for that week of the show. Afterwards things quiet down which isn't a bad thing. Hancock's is just the most wonderful place to shop for fabric especially before and after the show. During the show it is so crowded you cannot think straight. The downtown area is very quaint, quiet and an enjoyable place to browse.
I said earlier that I would choose the show in Chat because if you have never been to a show it is just a great experience. But if you have a pattern and are on a mission to find fabric I would go to Paducah's Hancock's. This store is unlike any other fabric store, and there are benches and seats for hubby's to sit and read or nap while you're shopping. I can spend hours in there. The show would be crowded...Paducah, not. Finding restaurants a challenge with crowds, Paducah not. Since you're traveling with your DH I would have to venture a guess that he would like Paducah more. Lots of good restaurants downtown along the cobblestone streets. Be sure to go to the Quilter's Museum and walk along the riverfront to see the murals. I think I just changed my own mind.