50NL - AA on very bad flop facing c/r

Villain is 35/20 2 AF with only 20 hands.
No history between us.

Villain could have a lot of made hands on the flop (i.e. QQ/JJ/TT/77,89,JT even T7) but also KQ, Q9, AK and maybe some 9x (if he is really loose).
What is the best play here? Call and see if he bluffs turn with his missed OESD? 3Bet flop?
Is folding flop any option?
I'm a bit lost here ...

No-Limit Hold'em, $0.50 BB (5 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

Hero (UTG) ($60.87)
MP ($13.65)
Button ($9.75)
SB ($49.24)
BB ($89.47)

Preflop: Hero is UTG with Ahttp://www.flopturnriver.com/phpBB2/...miles/club.gif, Ahttp://www.flopturnriver.com/phpBB2/...es/diamond.gif
Hero bets $1.50, 2 folds, SB calls $1.25, 1 fold

Flop: ($3.50) Jhttp://www.flopturnriver.com/phpBB2/...iles/heart.gif, 10http://www.flopturnriver.com/phpBB2/...iles/spade.gif, 7http://www.flopturnriver.com/phpBB2/...es/diamond.gif (2 players)
SB checks, Hero bets $2.50, SB raises $7, Hero ???

You raised UTG + he´s oop + nut flop for his range + his sizing = don´t think he´s bluffing much at all

We´re 50% vs {77, TT, JJ, QQ, KQ, JT, 98} so I call and take a turn

What's your turn plan on various cards facing a bet?

With no history on the player i like a check back on the flop. A check raise really makes it tough to play even with position. there are also a ton of cards which you have to fold to on later streets if u get called. Ive seen some coaches on stox poker take a bet fold line in this spot but they were oop. Given the stack sizes as well, id like to get to showdown with this hand and try and play a small to medium size pot and maybe pick of some bluffs on the way.

bet call in your spot would probably be the best line. bet fold is a bit too weak ip. id probably be folding a lot of turns depending on sizing and the turn card. if turn goes check i think checking back is probably best.

I would have to call flop, check fold turn.

I'm in the call one fold turn camp. I feel like people are liable to give up on a bunch of turns with bluff raises at these stakes so I wouldn't worry about getting barreled of your hand much.