I absolutely hate, hate, hate the flop 3-bet. There's no purpose to it whatsoever. You say " I must continue with hand, might as well be the aggressor imo," but why? You certainly aren't getting a better hand to fold no matter what you do, so what benefit is there to being the aggressor in this situation? Doing this OUT OF POSITION is particularly bad because you really have no way to control the later streets or take a free card. Plus, if you really think there's some benefit to being the aggressor in this situation, or if you're worried that both are on draws and will take a free card that you don't want to give, just call the flop and bet out on the turn, at least that burns one less SB.

I prefer the call down and hope line myself, with a fold if either player raises either big bet street.