I'd suggest looking at the Bluejacket kits. All those mentioned here so far are 2 masted schooners. Along those lines, I've built a model of the Mary Taylor from scratch basically using the BlueJacket kit plans. Also have the kit sitting around here, which seems pretty nice.
Tim's suggestion of the Smuggler I think would prove to be an interesting build. I have the instruction book for it and it's very detailed.
Also, they have some 3 masted schooners and square riggers, all solid hull.
There is also the resurrected AJ Fisher company which has been re-releasing some old solid hull kits: http://www.ajfisher.com.
If you're set on a Model Shipways kit, there are also the old yellow box kits that show up on Ebay all the time. Instructions are usually pretty limited, but I really like the old George Campbell plans, which still show up in some of the older, but current, Model Shipways kits.
He's a -> "HE"
Hyde Street Pier Model Shipwrights
South Bay Model Shipwrights
Nautical Research Guild
Current Builds: HMS Victory, 1805; USS Saginaw, 1859; Yacht America, 1851
Researching: Japanese Screw Steamer Kanrin Maru, 1855
Recent Builds: Higaki Kaisen, Japanese Edo Period Transport; 18th C. English Longboat; NY Pilot Boat Mary Taylor, 1850; Privateer Lively, 1813;
HMS Fair Rosamond, 1831