OK. If villians PFR range is AA/KK/AK, then I guess we can call pre-flop for implied odds. Now, on the flop we are either drawing to boat+, or he's drawing to 6 outs (AA) or 10 outs (KK). And 6 outs are either As and Ks - doesn't matter which (either A or K gives him either over set or straight). If I 9 comes up... bleah.

So, I think given extreme tight range on villian, you might consider checking behind on the flop! Note that you are not even slowplaying here, you are just trying to keep the pot small since there is a 50% chance that you are behind, but you have outs to the nuts (unless an A or K falls)

As played: pot odds 3:1
25% AA you win 84% = 21%
25% KK you win 77% = 19%
50% AK you win 33% = 16%

You win 56% of the time. e-z call.