There must be a way Black can Zuggers White into dropping that e-pawn with a check.
Or playing Kxe4 with the Rook on the c-file. Look for creeping Rook moves before the final position.
You were lucky to draw, he concentrated too much on your a-pawn.
Instead of 42.Qb1 which led to your alert trick, 41.Qe5 threatening Rxh6+
looks good enough to wrap it up. The Rook gets back time if the Queens come off.