Top 2 on flop vs. Premium Hand

[LadyMuck]

Villain is 48/5/0 & I'm playing 20/15/5. His min-raise pf indicates he has a premium hand as he is not raising anything else. I decide to call from the BB as I'm happy to get into a pot with him HU.

Flop gives me top 2 pair, I lead and he min-raises. I have him on AA. KK is a possibility but that would just be a mega-cooler so I'm not going to worry about it. I think I have him beat on the flop, what is my line to get maximum value here?

$0.25 BB (5 handed) Hand History Converter Tool from http://www.flopturnriver.comFlopTurnRiver.com (Format: Plain Text)

SB ($26)
Hero ($30.20)
UTG ($15.75)
MP ($24.45)
Button ($111.70)

Preflop: Hero is BB with Js, Kd.
UTG raises to $0.5, 3 folds, Hero calls $0.25.

Flop: ($1.10) Ks, Jh, 9d (2 players)
Hero bets $1, UTG raises to $2, Hero ????

[Sphere99991]

If your read is: villain has AA, then I shove, he's not folding.

Regardless, I 3-bet here. Maybe raise to like $6-8. Over how many hands is he 48/5/0? That is the most retarded stat ever. JJ is a possible holding too, no?

[Abelardo]

put in another RR, perhaps is messing around because he minraised again so he could have BS, anyway get your money in that's the flop you want.

[Spurious]

Raise it to 8$..

[fees]

meh call c/r a good turn

[CobraGoat]

Are his stats reliable? If so...

I think villains PF range here is 88+, AQ+, when he minRs your flop bet i think the range narrows to AA, AK, KK, JJ, 99. Given that, I agree with Fees in looking to call and c/r a safe turn, which to me is any non A or 9. Problem is that with this guys super passiveness he may check behind on the turn.