PokerStars - $14.39+$0.61|40/80 NL (2 max) - Holdem - 2 players
Hand converted by PokerTracker 4

BB: 19.3 BB (VPIP: 68.18, PFR: 25.00, 3Bet Preflop: 40.00, Hands: 49)
Hero (SB): 18.2 BB

Hero posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has K 4

Hero raises to 2 BB, BB calls 1 BB

Flop: (4 BB, 2 players) T 7 3
BB checks, Hero checks

Turn: (4 BB, 2 players) 8
BB checks, Hero bets 2.55 BB, BB calls 2.55 BB

River: (9.1 BB, 2 players) 8
BB checks, Hero bets 4 BB

Villain:
fold to flop cbet 67% (2/3)
x/r flop 33% (1/3)

When V doesn't probe turn, his range seems capped, mainly containing 8x, 7x, 3x, overs and some draws. I think we should bet turn and follow up on many rivers. However, do you think we can get enough folds on this particular river? Does the average player recognize I'm very polarized here? Do you see 3x or A high call here often?

Is this a good spot to barrel hands like stronger 7x vs a thinking reg, who will likely call with many bluff catchers?

If you're not gonna c-bet the flop I assume you want to take K-high to showdown, therefore I don't see why start betting T and R now.

In my opinion betting turn and river is just valuetowning yourself against his value range, since I don't see him folding a pair here, and folding the draws of which you could beat already with K-high.

Pretty much this.