I haven't thought too deeply about if it will work on a turn based site, but Cribbage might work. And of course it's sort of a card game AND a board game. (In a way)
Nirvana: I have many games of both running, and i think they work well turn-based as long as they are coded properly. Its good on BugCafe as in Tournaments there they have a maximum of 3 days per move, no vacations, so you get no problems of never ending Tournaments