My thinking on the flop is that betting makes his worse hands fold and only better hands call or raise, like Qx/8x/TT/JJ, so I plan on betting any non scary turn if checked to me, or calling a small bet. The A is rather scary however, and when villain leads should we call or fold? Raising seems out of the question since we would be bluffing when we have a medium strength hand.

Villain 18/3, 2.3 AF and 58 AFq:

Full Tilt No-Limit Hold'em, $0.25 BB (8 handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

Button ($26.90)
SB ($27.93)
BB ($6.18)
UTG ($26.66)
Hero (UTG+1) ($25)
MP1 ($10.99)
MP2 ($30.71)
CO ($14.63)

Preflop: Hero is UTG+1 with 9, 9
1 fold, Hero bets $0.85, 5 folds, BB calls $0.60

Flop: ($1.80) 8, 8, Q (2 players)
BB checks, Hero checks

Turn: ($1.80) A (2 players)
BB bets $1, Hero ????

Total pot: $1.80 | Rake: $0.09