3bet sizing should be 1-2bb more, flop and turn looks standard?

my thinking on the river bet is that i may get a call from hands like 77-99 that would otherwise check behind if i check the river.

but would a better plan be to just c/f river since i have no idea of BTN's bluff frequency.

maybe i should just c/f though since when he bets the river when i check he's 95% value betting a better hand, or he is bluffing. i'd fold to any bet smaller than 1/4PSB without any reads
PokerStars No-Limit Hold'em, $0.25 BB (6 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

Button ($29.95)
Hero (SB) ($25)
BB ($25)
UTG ($30.30)
MP ($25)
CO ($15)

Preflop: Hero is SB with 10, 10
3 folds, Button bets $1, Hero raises to $2.75, 1 fold, Button calls $1.75

Flop: ($5.75) Q, 3, J (2 players)
Hero checks, Button checks

Turn: ($5.75) A (2 players)
Hero checks, Button checks

River: ($5.75) J (2 players)
Hero bets $2.75, Button calls $2.75

Total pot: $11.25 | Rake: $0.55