I don't have a great plan here either, especially on the board-pairing turn. One thing that I think is really important though that I think some players don't realize is that since our cold 4bet range should be quite AA-heavy, we should have more naked blockers than usual in relation to nut flushes (we're 4betting AA a lot whether it's suited or not, whereas in a single-raised pot many of our hands should be suited to the ace). So I think we may have to show some restraint with some nut flush blockers hands.

Excellent point Dirty D. As for how to play this hand in particular. How would you play the NF? I would often just bet turn and river for value if villains flop calling range was mostly legitimate hero calls. If I run into a boat so be it, however my range will be assumed to be more polarized which may induce lower flushes to call down more. If I felt villains flop calling range was a mix of hero calls plus many floats such as pr+str8 draw, wraps, etc then I would check my entire range on turn and check/jam my NF.  Accordingly when I choose to bluff I would probably just take the line that i would take with NF. however as Dirty D said we need to be careful to not bluff turn every time we have NF blocker given we would be over bluffing with a range of mostly AAxx. 

That being said, this means that when I check turn vs the more legitimate flop caller, I seldom am continuing. Although that's not ideal it might be okay given so much has already been put in by villain he can't profitably just float to the turn in a 4b pot hoping I check. Perhaps it's just that once called given our range is primarily AAxx, his range dominates ours even more so on a paired turn such that we just need to xf turns a lot. We can make an occasional turn cr bluff when we have A blocker and trips or A blocker + boat blocker.  

One last addition, I don't think the turn pairing changes the scenario that much. Sure it makes his range stronger considerably but I think NF is still a value bet for stacks so our one value hand we are repping remains the same regardless its no longer close to the nuts.

This link is flushes within your 4bet range vs an estimate of his flop calling range. On turn you still have enough equity to stack off.

http://www.propokertools.com/simulations/show?b=9c7c4c7s&g=oh&h1=%28AA%2Ckka%2Cakq%24ds%29%3A%28acc%2Ckcc%2C99%2C74%2C79%2C77%2C44%29&h2=%28%284567%2B%2C4568%2B%2Crrtt%29%24ds%2C%284567%2B%2C4568%2B%2Crrtt%29%24ss%2Ckk%24ds%29%3A%28cc%2C99%2C77%2C44%2C97%2C94%2C74%29&s=generic

If he had a pretty high flush on the turn like Qxss he wouldn't be betting very often. He can't get 2 streets from anything and a bet if it checks to him on the river looks weaker and you yourself are weaker also he gets called more due to no future streets. Also he can induce some bluffs. Same thing with his floats, it makes more sense to check back his floats, then make a small bet on the river. And he avoids getting C/r. And no reason for him to barrell off with a good bluff hand. The best hand to bluff with in his spot is 7x, as you fold out flushes and have draw to full house. But 7x beats AA so he could just check it down.

But for this very reason he could just be floating you with any 4 cards a high% of the time and bet the turn small because it looks like he wouldn't. It's all a guessing game.

That's why I wouldn't make the small float inviting bet on the flop OOP at these stack sizes. Your'e pretty much obliged to continue firing on non pairing turns and he will know you don't have it often or you can C/F turn. Then on pairing turns this dilemna happens. Don't get me wrong I love the small bet in position at 1.8k stacks to 1.2k pot. But OOP just CRAI on flop or delay cbet. In position you can bet small showdown sometimes, and fire off when you want which makes much more sense.

Also the point DirtyD mentioned is solid.

This is how I would play with AA flush or blocker:

In position- small bet like that a high % of the time. Chc/B the remaining %. Barrell off certain times..definitely not too high. And go to show down others. No big bet range.

OOP: Never make that small bet ever. Check most of the time. Jam over a bet, or bet big when he checks back or just give up depending on his frequencies. A small % just bet big give up. And no check calling range either.