Hows my line?

[freechus9]

No reads on player

PokerStars No-Limit Hold'em, $0.10 BB (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP1 ($4.05)
MP2 ($12.20)
CO ($10.25)
Button ($9)
Hero ($10.10)
BB ($11.30)
UTG ($2.45)
UTG+1 ($8.80)

Preflop: Hero is SB with J, K.
6 folds, Hero raises to $0.4, BB calls $0.30.

Flop: ($0.80) 3, J, 8 (2 players)
Hero bets $0.6, BB calls $0.60.

Turn: ($2) K (2 players)
Hero bets $1, BB calls $1.

River: ($4) 7 (2 players)
Hero bets $2, BB raises to $4, Hero raises to $8.1

[DaHorror]

As played, just call the river when the straight draw gets there and you are minraised.

I would bet $1.50 or more on the turn.

If I'm smooth-called twice here after showing strength - then my river play depends on what I think of the opponent ... and my sixth sense. I might even check-call figuring a better hand will value bet something reasonable and worse hands may bluff /donk value bet. A bit weak...just depends on my sense of the hand etc.
Mostly nowadays I probably lead for 2/3 pot on the river as a value bet and would likely call a reraise/push etc. as I'm pot-committed at that point.