Harrington this AA hand ITM? I'm confused. Is stack big enough?

[People_Mover]

2200 Entrants, down to 200, just inside the money. Avg stack - 18K

750/1500 Blinds

MP1(36K) minraises to 3000 (means nothing)
Hero in MP2(16500) w/ A [img]/images/graemlins/diamond.gif[/img]A [img]/images/graemlins/club.gif[/img]

Now, Harrington says to minraise this again, then put the rest in on the flop. Is the stack big enough to do this or just push it? Pushing gives me a 33% boost if they fold, but doubling is always better [img]/images/graemlins/grin.gif[/img]