The Rosen trap is a hilarious way to steal draws in lost positions
Idea, have your opponent check you with their queen on b3 or c2 (or the corresponding positions for the other corners). Then move the king into the corner and hope they move their king.
Or, get your king into the corner and try to make your opponent go to b3 or c2 with their queen It helps if you have a pawn or something there to bait them into going there.
It surprisingly works occasionally even at low intermediate ratings. The key is that the KQ vs K position before the draw feels like checkmate is possible in a turn or two but it's actually mate in 4 and you have to be quite careful each turn still.