Curious how others would play this hand...

[snowbank]

PokerStars No-Limit Hold'em, $0.50 BB (8 handed)

UTG ($$41.50)
UTG+1 ($$21.95)
MP1 ($$143.25)
MP2 ($$58.15)
Hero ($$97.55)
Button ($$106.25)
SB ($$90.50)
BB ($$43.05)

Preflop: Hero is CO with K, K.
UTG calls $1, UTG+1 calls $1, MP1 folds, MP2 folds, Hero raises to $3, Button folds, SB folds, BB raises to $5, UTG calls $4, UTG+1 folds, Hero calls $2.

Flop: ($17) 5, Q, 3 (3 players)
BB bets $4, UTG folds, Hero raises to $8, BB calls $4.

Turn: ($33) T (2 players)
BB checks, Hero bets $8, BB calls $8.

River: ($49) 7 (2 players)
BB checks, Hero bets $23, BB folds.

Final Pot: $72

Would you have played the hand similar? Any differences you would have made in the way it was played?