Most optimal line with FD in 3bp

GG Poker - $0.50 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

Hero (BTN): 161.92 BB
SB: 104.44 BB
BB: 100 BB
UTG: 467.88 BB
MP: 228.14 BB
CO: 156.98 BB

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Q♣ K♣

fold, fold, fold, Hero raises to 2.5 BB, SB raises to 11 BB, fold, Hero calls 8.5 BB

Flop: (23 BB, 2 players) 9♣ 5♦ 3♣
SB checks, Hero bets 6.9 BB, SB calls 6.9 BB

Turn: (36.8 BB, 2 players) 4♠
SB checks, Hero bets 36.8 BB, SB raises to 86.54 BB, Hero calls 49.74 BB

I'm posting this less to get feedback on any particular action, more to get ideas on if there is a line that can maximize pressure aganst A highs and minimize the size of the pot against everything else.