KK against the big stack as 2d biggest stack?

[JoshuaMayes]

20+2 on party 6 players remain. Blinds are 50/100. I have a stack of ~1800. The big stack is to my immediate right with ~2600. Big stack has built his stack by playing like a complete donkey and sucking out a few times, e.g. overcalling an all-in with pocket 66 on a board of QQ8 and spiking a 6 on the river. I have built my stack solely by making good reads and calls on the aggressive big stack. I am dealt KK OTB. Everyone folds to the big stack who raised to 450. Given his play, I assume he will likely call if I push. Whats my play? Should I call and wait to see if an A flops or should I push now?