Blinds = 500/2k/4k

16/93 players left

2 Tables left. Our table is 7 handed. We are UTG+1 with a 27k stack. We are dealt AsJs

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QUESTION: Is this hand part of our Pushing range?

Fold

Can this hand be folded? We are in early position with a semi big suited Ace. If I fold this, then my pushing range will only consist of made hands [77 or better] With the chip stack available, I do not like this option.

Call

Limping in early position could point toward strength. Being a tighter player, I have not entered many pots and this might be a good option a large percentage of the time, however: 
>If i get repopped, i have to push. Flat calling out of position will leave us with no chips.
>Can this hand be Limp/Folded? That will be throwing away 15% of our stack when we could very well be ahead. There is 9.5k in the pot preflop, if i stick in 4k, then 13.5k. If I get raised on, then my stack will be the same size of the pot. I would have to go with it in this case.

Raise

I do not think I can simply raise, min would be 8k which is %30 of our stack. Again, if i get pushed on, forced to call anyway. 

Should I even be thinking about a push? WIth being so close to the money, should my range tighten up to only include made hands and possible AK/AQ? Is it profitable to limp in this spot and try to see a flop and fold if raiseD? Am I thinking about this the correct way?

Any thoughts or guidance is greatly appreciated. Thanks everyone.