Villain is 35/28 over a very small sample, but basically unknown.
He may be testing me with any A, so I don't think I can fold just yet.
Call, check turn and then what?
Call and shove any turn, or shove now?

TPTK in a re-raised pot = get it in for 115BB?

Full Tilt No-Limit Hold'em, $2 BB (5 handed)

MP ($190)
Button ($234.65)
SB ($93.15)
Hero ($230)
UTG ($73)

Preflop: Hero is BB with , .
2 folds, Button raises to $7, 1 fold, Hero raises to $24, Button calls $15.

Flop: ($47) , , (2 players)
Hero bets $34, Button raises to $68

I like shoving somewhere, but my poker biorhythms are in their aggro-tard phase.

You're right that the flop MR is quite often another A testing you. Naturally you'd want to get all in on an A or K high board when it's reraised preflop, but in this case I'd probably just call my stack off, leaving him room for bluffs, and feel sick and dirty afterwards.