hand one is interesting because there are few flush draws for villain to have because of your Ah. i punched some hands into stove, this is a rough estimate for the flop c/r, giving him all straights, sets, two pairs, and a few flush draws:


equity win tie pots won pots tied
Hand 0: 46.553% 44.14% 02.41% 29718 1621.50 { Ah8h }
Hand 1: 53.447% 51.04% 02.41% 34359 1621.50 { QQ-88, KQs, KhTh, QhTh, JTs, T9s, 98s, 87s, 7h6h, 6h5h, KQo, JTo, T9o, 98o }

so shoving isn't bad here i don't think because you may fold out some hands which are technically "correct" in calling your shove (in terms of FTOP) ie two pair hands that he may fold to extreme heat:

Board: 9h Ts Jh
Dead:
equity win tie pots won pots tied
Hand 0: 49.091% 48.18% 00.91% 954 18.00 { Ah8h }
Hand 1: 50.909% 50.00% 00.91% 990 18.00 { JTs }

if you smooth and the turn bricks your equity is pretty much chopped in half, which makes me lean toward playing aggressive, however, he may fold the lower SC heart draws to your shove. you really want these hands to continue as you get his stack a huge % of the time when you both complete. so now i'm leaning towards a call, even though most of your outs are scare cards for a decent part of villain's range, you have so much equity you dont need implied odds so much, plus you stack him if he does have XhXh. in conclusion, this small analysis has taken me ages and i honestly dont know whether calling or 3betting is better.