Guy tells me that he's going to call with any 2

[splashpot]

So I'm playing a $22. My stack is around 1500 with 100/200 blinds and bubbletime. I get a few good hands in a row and I pushed maybe 3 times in a row. Apparently one of them gets annoyed and he tells me that he's going to call me with any 2 cards next time I push. I do in fact believe him because he would look like an idiot if he didn't call. My read is that keeping his word is more important to him than winning the sng. I tell him that's fine with me.

So how good of a hand do I need to push? Clearly my pushing range should shrink if I believe him(which I do). What about when the blinds get to 150/300?