Should i be checking and giving up at any point in this hand? I didn't turn any equity, so i would usually check turn but i thought K is one of the best cards for my range here. Once i arrive at river with this weak of a hand i usually bet it but dont know if its correct to do so.

Hand History driven straight to this forum with DriveHUD 2 Poker HUD and Database Software

NL Holdem 0.10(BB)
HERO (100BBs) [VPIP: 21% | PFR: 17.9% | AGG: 38.5% | Flop Agg: 45.6% | Turn Agg: 38.3% | River Agg: 31.5% | 3Bet: 8.7% | 4Bet: 10.6% | Hands: 75837]
SB (101.8BBs) [VPIP: 24.5% | PFR: 18.9% | AGG: 27.3% | Hands: 54]
BB (100.9BBs) [VPIP: 57.1% | PFR: 42.9% | AGG: 25% | Flop Agg: 50% | Turn Agg: 0% | River Agg: 0% | 3Bet: 0% | 4Bet: 0% | Cold Call: 50% | Hands: 7]
UTG (99.3BBs) [VPIP: 19.6% | PFR: 13.7% | AGG: 14.3% | Hands: 54]
HJ (100.3BBs) [VPIP: 17.6% | PFR: 11.8% | AGG: 62.5% | Hands: 17]
CO (100BBs) [VPIP: 0% | PFR: 0% | AGG: 0% | Hands: 4]

Dealt to Hero: T 9

UTG Folds, HJ Folds, CO Folds, HERO Raises To 2.5BBs, SB Folds, BB Calls 1.5BBs

Hero SPR on Flop: [17.73 effective]
Flop (5.5BBs): Q Q 8
BB Checks, HERO Bets 1.7BBs (Rem. Stack: 95.8BBs), BB Calls 1.7BBs (Rem. Stack: 96.7BBs)

Turn (8.9BBs): Q Q 8 K
BB Checks, HERO Bets 5.7BBs (Rem. Stack: 90.1BBs), BB Calls 5.7BBs (Rem. Stack: 91BBs)

River (20.3BBs): Q Q 8 K 7
BB Checks, HERO Bets 12.9BBs (Rem. Stack: 77.2BBs)

Betting on the flop and turn looks fine.

I wouldn't bluff on this brick river. Fish is unlikely to fold any made hands he called on the turn.