No read on the villain.

Alternative flop/turn/river lines

PokerStars 10/20 Hold'em (3 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Preflop: Hero is SB with A, Q.
1 fold, Hero raises, BB calls.

Flop: (4 SB) 6, J, 5 (2 players)
Hero bets, BB raises, Hero 3-bets, BB calls.

Turn: (5 BB) 8 (2 players)
Hero bets, BB calls.

River: (7 BB) 5 (2 players)
Hero checks, BB bets, Hero calls.

Final Pot: 9 BB

3-betting the flop is fine to mix things up, but I think it is usually better to just call down after he raises the turn (especially if you plan on calling a river bet UI). This gives you the opportunity to check/raise if you hit.

Also, if your opponent is aggressive enough, another play may be to check/call down from the flop on. You may get him to put in multiple bets postflop with just 4 outs when he would have folded to a flop bet. This play is opponent dependent though.

I like this plan; after villain raises the flop, you're only a very slight favorite against villain's range (other than his bluffs), so you're not giving up much by just calling.

As played, I'm torn on the river; there's not much that you beat (21 busted flush draws, or else 43, would be the only hands that make any sense); I think it's close, but I'm guessing folding is better.