With a read, I would make this play all the time. But given no read, I have to put his range to any pair between 44 and QQ, and most 2 big diamonds.

Player 1- QQ-44,AdKd,AdQd,AdJd,AdTd,KdQd,KdJd,KdTd,QdJd,QdTd,Jd Td,78s
Player 2- QQ

Your equity against his hand range is 60%. He could also have a lot more hands then this. He could have a hand like A6s/o, A7s/o or 33, or something else along those lines. I just cant imagine laying this down. Given his shallow stack, your pushing here.