Or don't players bluff often enough on the river? And maybe he can vbet AQ?
Poker Stars $25.00 No Limit Hold'em - 5 players - View hand 1968418
DeucesCracked Poker Videos Hand History Converter
Hero (BB): $25.45 - VPIP: 17, PFR: 14, 3B: 6, AF: 3.6, Hands: 526494
UTG: $25.90 - VPIP: 19, PFR: 14, 3B: 9, AF: 3.0, Hands: 206
CO: $25.92 - VPIP: 23, PFR: 19, 3B: 14, AF: 2.0, Hands: 26
BTN: $28.00 - VPIP: 25, PFR: 21, 3B: 9, AF: 13.0, Hands: 68
SB: $19.44 - VPIP: 44, PFR: 2, 3B: 0, AF: 3.2, Hands: 50
Pre Flop: ($0.35) Hero is BB with Q 
T 
2 folds, BTN raises to $0.62, 1 fold, Hero raises to $2.25, BTN calls $1.63
Flop: ($4.60) Q 
3 
3 (2 players)
Hero checks, BTN checks
Turn: ($4.60) 5 (2 players)
Hero checks, BTN bets $3.29, Hero calls $3.29
River: ($11.18) 4 (2 players)
Hero checks, BTN bets $6.91, Hero calls $6.91
And of course also KQ/QJ. So his range on the river is kinda capped and he really has to call you down with wide range to Check/Call both streets. Though without much information I would most likely end up doing that whils tyou never know if he decided to turn even JJ into thin value.