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Can a $22er hold back from pushing this flop with an Ace (or a set) with this chip stack?

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Yes, especially with the set (getting Full House on the turn).

When I call I expect to lose around 80% of the time. When I do - my chances to win the tourney are not tremendously worse. 20% I expect to see K9s or something even less - and win. And then my chances to win are bettr (with 2K+ stack). SO - by calling I stand to lose relatively little, but I stand to gain quite a bit levergae 20% of the time or so. Read the ENTIRE "Gigabet's theory of stack sizes" in MTT Anthology for further discusions on this subject.