Well... it's called Bughouse. A few bugs are to be expected.
Bughouse
I think chess.com should allow us to play bughouse with the computer. That is to say, all 3 players other than yourself are the computer. That would completely solve the problem of having to wait for games.
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It's almost impossible to get a match these days for bughouse, and because of this I suspect people have given up challenging.
The graph displaying challenges should include bughouse, and the number out of 4 waiting for that challenge. Also there could be bughouse tournaments, either you are paired with someone for the tournament or its individually and random.