NL50 AQs monster draw vs. turn raise

Prima, $0.25/$0.50 No Limit Hold'em Cash, 5 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

BTN: $67.90 (135.8 bb)
SB: $58.06 (116.1 bb)
BB: $60.20 (120.4 bb)
Hero (MP): $50 (100 bb)
CO: $57.33 (114.7 bb)

Preflop: Hero is MP with Q♠ A♠
Hero raises to $1.50, CO folds, BTN calls $1.50, 2 folds

Flop: ($3.75) J♦ 8♥ 6♠ (2 players)
Hero bets $2.10, BTN calls $2.10

Turn: ($7.95) T♠ (2 players)
Hero bets $5, BTN raises to $14, Hero calls $9

River: ($35.95) T♦ (2 players)
Hero checks, BTN checks

24/21, 51% agg.freq. never ch/r or rasied CB. 892 hands

Pehaps i can bet the turn a bit bigger? After the raise, which is better call or shove? I`m no sure if he has many bluffs in this spot and i have odds to call even vs. very strong range.