Do I just push the river?

Not sure what the is the best way to extract money here, bc a push is a huge overbet. Villian almost instacalled my first two bets.

PokerStars No-Limit Hold'em, $0.25 BB (6 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Button ($40.65)
SB ($27.85)
Hero ($25.25)
UTG ($26.75)
MP ($24.85)
CO ($57.40)

Preflop: Hero is BB with 4, 6.
2 folds, CO calls $0.25, 2 folds, Hero checks.

Flop: ($0.60) 6, T, 6 (2 players)
Hero bets $0.5, CO calls $0.50.

Turn: ($1.60) A (2 players)
Hero bets $1.5, CO calls $1.50.

River: ($4.60) 4 (2 players)
Hero bets $4, CO calls $4.

Final Pot: $12.60

depending on what you put opp on depends how you play the turn.
If its a flush draw, you have to bet as you did. If you think he has a T or maybe something else id have maybe tried a c/r or check call looking to get some more cash in on the river if opp is a bit calling stationy

yeah, or a kind of "overbet" at the river ($6-7) trying to make it look like your own flush draw missed and you you just want him to fold. However, given his raise button appears to be broken, just trying to milk him for what you think you can get out of him, as you did, is good here.

standard