I would love your toughts on how to play this hand, I think I overvalue my QQ here :(

On the flop, I think calling is ok. Folding is not an option since I have the top of my range with QQ. Is 3betting ok, or do I scared all his draws and only keep his value hands like sets and 2pairs +???

On the spot I thought 3betting the turn was the best option versus "his range" but I was wrong. After reflexion, what kind of hand raise my range on flop..... I came up with :
- flushdraw with Ax, 78s, 34s,45s and maybe some Kx like K7s or K5s... but I doubted he called them PF.
- Set, 22, 44, 66
- Overpair and maybe some 33 and 55 with spades (but I dont think he 3bets thoses)
- and some suits connectors like 45,56,78....

So, the turn card really help his range except of the Ax flushdraw like AJs.... so, do I have to Check/Call and Check/fold any spades river or check/folding the turn and going on to another hand?

What do you think about his 3bet? He had 78c, so on flop he only had a gutshot. Since the board doesnt hit my range too much, I kind of like it. But on turn, if he missed lets say Jh... does he bets again or only barrels on spade, pairboard, and maybe on like 3,5,7?

Thanks!