AA in MW Squeezed Pot - River Decision

Maybe turn is a bet? But whatever, let's focus on how to play the river.

I suspect we can lead some of the time on the K river. So if we do lead, do we like B/C or B/F?

And if we check, and villain shoves. Call or fold?

Hand History driven straight to this forum with DriveHUD 2 Poker Tracking Software

NL Holdem 0.25(BB)
HERO (232.6BBs)
BB (100BBs) [VPIP: 10% | PFR: 10% | AGG: 0% | Hands: 10]
UTG (98.6BBs) [VPIP: 22.2% | PFR: 22.2% | AGG: 25% | Flop Agg: 25% | Turn Agg: 50% | River Agg: 0% | 3Bet: 0% | 4Bet: 0% | Hands: 18]
HJ (100BBs) [VPIP: 25% | PFR: 15% | AGG: 11.1% | Flop Agg: 33.3% | Turn Agg: 0% | River Agg: 0% | 3Bet: 8.3% | 4Bet: 0% | Cold Call: 16.7% | Hands: 20]
CO (121.6BBs) [VPIP: 20.7% | PFR: 13.8% | AGG: 8.3% | Hands: 29]
BTN (47.9BBs) [VPIP: 50% | PFR: 14.3% | AGG: 75% | Hands: 14]

Dealt to Hero: A♠ A♣

UTG Raises To 2.6BBs, HJ Calls 2.6BBs, CO Folds, BTN Folds, HERO Raises To 14.4BBs, BB Folds, UTG Calls 11.8BBs, HJ Calls 11.8BBs

Hero SPR on Flop: [1.9 effective]
Flop (44.2BBs): T♣ T♥ J♣
HERO Checks, UTG Checks, HJ Checks

Turn (44.2BBs): T♣ T♥ J♣ 8♥
HERO Checks, UTG Bets 14BBs (Rem. Stack: 70.2BBs), HJ Folds, HERO Calls 14BBs (Rem. Stack: 204.2BBs)

River (72.2BBs): T♣ T♥ J♣ 8♥ K♠