[2NL] 6m AA OOP rivers nut flush on baby flush board

[daviddem]

Villain is 25/21/3.5Agg, fold to 3b 33% (1/3), 92% cbet, fold to cbet 33% (1/3)

Full Tilt No-Limit Hold'em, $0.02 BB (5 handed) - Full Tilt Converter Tool from Play Online Poker, Site Reviews & Poker Forum | FlopTurnRiver.com

saw flop

SB ($2.90)
Hero (BB) ($2)
UTG ($1.02)
MP ($3.89)
Button ($2.26)

Preflop: Hero is BB with A, A
1 fold, MP bets $0.06, 2 folds, Hero raises to $0.19, MP calls $0.13

Flop: ($0.39) 7, J, 5 (2 players)
Hero bets $0.24, MP calls $0.24

Turn: ($0.87) 3 (2 players)
Hero bets $0.50, MP calls $0.50

River: ($1.87) Q (2 players)
Hero ?? ($1.07 behind)

Discuss best way to get the rest of the money in.

edit: as a sidenote, I'd have a hard time rivering a nut flush with AA if it was not a baby flush board... dumb me