AJs on bubble, push or fold to big stack min-raise? ($33)

[downtown]

Like many, I started with the Aleo guide and generally followed the rule "Never enter a raised pot without AA, KK, QQ, AK unless raiser has ½ your stack or less" in the 11s. Well, as I've gotten "better" I sometimes question this line, especially when you've got some dude min-raising all the time.

This is a $33. UTG is min-raising a wide range of hands here, on avg of twice an orbit.

Push/make a stand -or- fold/live by the first-in-the-pot-steal, die by the first-in-the-pot steal? For UTG, assume whatever you want about a player that is min-raising so much. I would guess he's holding top 50% of hands and 50/50 fold to the push, call the push.

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Party Poker No-Limit Hold'em Tourney, Big Blind is t300 (4 handed) converter

Button (t995)
SB (t2115)
Hero (t1875)
UTG (t3015)

Preflop: Hero is BB with A[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/diamond.gif[/img].
<font color="#CC3333">UTG raises to t600</font>, <font color="#666666">2 folds</font>, <font color="#CC3333">Hero???