TPTK faces flop resistance...common situation

[In Paradise]

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Very common situation... I am never exactly sure how to deal with this.

Live game, .25/50 NL.. $20 buyin (only 40x BB)
Hero has about $20
Villain covers

Hero is dealt A[img]/images/graemlins/club.gif[/img]K[img]/images/graemlins/diamond.gif[/img] in MP
Preflop:
2 limpers
Hero raises to $2
2 callers, rest fold.

Flop: ($6)
A[img]/images/graemlins/spade.gif[/img] T[img]/images/graemlins/heart.gif[/img] 5[img]/images/graemlins/diamond.gif[/img]

Hero leads for $5
Villain reraises to $10-15 dollars (usually 10)
Rest Fold

Hero?

Other notes:

Preflop play means NOTHING at this live table. Hand ranges for those that call prelfop raises is just as wide as if they had limped in for .50. People will play any 2 suited cards.

I always feel like I have to call down here since I've already committed $7 of my $20. However, I'd say that the majority of the time, I end up losing to a set or two-pair.

Opponents at this table will raise to protect their top-pair, but they'll also raise with a strong hand.

What goes through your mind in these situations to decide whehter to push or fold?

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Your first mistake was preflop. I would have raised to at least 3.00.
After the raise I probably push. If you call your committed anyway with the short stacks.