How should this hand be played?

[Gavagai]

It is 6-handed, so if hero folds he gets four hands before paying the blinds. In the best possible scenario, it is folded to hero on the button - is pushing any 2 here against two random hands (in order to win a pot which is 40% smaller) really much better? What about the second best possible scenario (being folded to in the cut-off)? If hero folds with the intention of pushing with no limpers, there is considerable risk that he will have to push into 3,4 or 5 random hands, and the pot will much be smaller. Just not really sure what the comparison is between these situations and the one I presented, but my intutition is that these situations are not really better, particularly since the pot is smaller.

Should the chance that hero picks up a decent hand over the next 4 hands be a significant consideration?

Does anyone think that this is a clear push?