COvsBB, triple barrel or just check?

Hi everyone :-)

I am not sure about this hand. Concretely the river play.
Would you bomb it or just check?
Actually I would more prefer bet than check for following reasons:
1. Our showdown value is too weak, only KT and AT we beat
2. His range is mainly from 2rd pairs and worse.
3. The blocker efect, we are blocking KQ,AQ,AJ,KT,AT.
4. He just check twice, the population leak is, that he will often raise OTF or OTT his nuts.
5. People are not triple barrel that often, so it looks quite strong.
6. I also have a lot of value hands like: AA,KK,QQ,JJ,88,55,44,76s,T9s,AQ,QJ,Q8s,J8s,54s and maybe KQ.

Thoughts?
PokerStars - $0.10 NL (6 max) - Holdem - 5 players
Hand converted by PokerTracker 4

UTG: 153.3 BB (VPIP: 19.84, PFR: 16.67, 3Bet Preflop: 5.38, Hands: 258)
Hero (CO): 111.3 BB
BTN: 109.2 BB (VPIP: 21.97, PFR: 16.67, 3Bet Preflop: 8.00, Hands: 137)
SB: 102.1 BB (VPIP: 31.62, PFR: 18.10, 3Bet Preflop: 5.88, Hands: 119)
BB: 143.8 BB (VPIP: 31.03, PFR: 27.59, 3Bet Preflop: 0.00, Hands: 29)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has A♥ K♣

fold, Hero raises to 3 BB, fold, fold, BB calls 2 BB

Flop: (6.5 BB, 2 players) J♥ 8♣ Q♠
BB checks, Hero bets 2 BB, BB calls 2 BB

Turn: (10.5 BB, 2 players) 5♣
BB checks, Hero bets 6.5 BB, BB calls 6.5 BB

River: (23.5 BB, 2 players) 4♦
BB checks, Hero checks