My situation is the opposite of yours. I have lots of SXS's and not much else. You're right, the Stoeger is chunky and ugly, but it is servicable for its purpose.
If you want a coach gun then certainly the CZ is worthy of consideration, very trim with a Greener lock, I believe. But I would think the short barrels would be less than optimal for sporting clays. I think I'd go for 26" barrels.
The really nice doubles are prohibitively expensive for the average guy. The best option would be to keep an eye on the doubles on Gun Broker. The older guns are the way to go. Ithica, Fox, Miruko, LeFever, L.C. Smiths, and a host of un-named Belgium knock offs, many of which were very nice guns. And there are some very nice Spanish guns that are affordable. Sometimes it is possible to come across a nice older Beretta or Benelli double. They are choice if you can find one.