I'd be shoving AA, KK and Qx on this flop so I just do the same with a FD

Your line is tricky, but, tbh, I really think villain actually shows up with AA, KK or good air quite a bit here so I'm not a big fan of a turn bet.

One thing you might consider is that he should be check-folding quite a few rivers with less than KK since it's unlikely for you to be holding unpaired spades and there's no reason for you to protect AA/KK on this turn vs his range.

so I actually like checking back on turn and betting any non-A/K river when checked to. I'd expect him to show up with JJ or less a huge % of time when he checks turn/river (lol epiphany!).

More importantly, I think he'll only very rarely be 2-barrel bluffing you (because your range should be strong by the time you get to the turn this way) so I'd really wouldn't be afraid missing the opportunity to bluff riv by checking turn.