Preflop is pretty butchered. Dont bet these dominated AX handranges OOP. Even if we hit a flop like AXX, we're still probably uncertain of our hands hand strength. 

Flop: i would've bet, since you should have alot of KX TP,OESD,  and 2-pair combos in your preflop 3-betting hand range.

Turn: turn is pretty gross spot. you can basically discount bluff from his turn raising range. It's either 2-pair+,or some type of combodraw. Equity wise how A5s fare VS his turn-raising range.

(I took out all set combinations from Villains turn raising range, since i would assume him to be raising on flop for Equity-protection. So Villains turn raising range is more skewed towards 2-pair/Combodraws)

Text results appended to pokerstove.txt 924  games     0.031 secs    29,806  games/secBoard: 2h Kh Td 8dDead:   equity win tie      pots won pots tied

Hand 0: 29.654%    29.65% 00.00%           274        0.00   { Ad5d }

Hand 1: 70.346%    70.35% 00.00%           650        0.00   { AhQh, AhJh, AhTh, KdQd, KdJd, Kd9d, QdJd, QhJh, QhTh, JhTh, Jd9d, Jh9h, Th9h, Th8h, KTo }

Pretty easy fold.

I think turn bet is good, he can have and fold hands like QQ/JJ AQ/AJ floats, JTs etc. You cant check/call and check/folding is giving up to easy I think. Once we get raised tho its pretty crappy cuz we are prolly priced into a call. 

I think its more complicated than the obvious pot-odds scenario stated above.  the EV(call) is hardest option to model, since it derives from the analysis of future streets

EX: 1) How many cards help our range  2) How many cards helps Villains range

3) Whats our implied odds if we hit Diamond 4)What happens if board pairs, etc...

Theres so many permutations to calculate for. From the top of my head, i would assume the given scenario to be a -EV call. 

I Just got CREV a week ago(still learning how to use it), if i have time, I'll try to see if i can calculate an answer for this outcome.

we dont really have to worry about all that since its basically an all in.  The simplest way is just to evaluate the EV of a shove. We risk 11.2 to win 29. Then we give him a range and we see if we have the required equity

 If he folding to 3bets a lot,make sure u have cards that play good ON position

A5 d is a bad cards to play oop.

even if a A came on the flop you are probably no good

I do not agree that A5s is bad to 3B Oop vs villains who steal alot, and (disregarding some reverse pot odds situations) is one of the best type of hands to do it with imo.It has good playability(i.e we can flop good equity and barrell a lot of flops) and is well disguised when we hit the nuts.

As played Op, i would x/f or x/c the turn if he gives us good odds.

Here you just have 0%Fe, and just have to fold.