is 40 Qc5, trading off queens give any hope for win?

Of course, it was a time scramble already though and just figured I'd use my queen to check him a bit and he'd flag eventually or hang something.

I don't blame you. I don't know how you play so strongly while talking cogently at the same time.
Remember when you handicapped yourself even further by covering up the clocks and the opponent's name? lol It might be funny to see you do that again every once in a while.