MP: 441.5 BB
CO: 113.65 BB
BTN: 117.2 BB
Hero (SB): 100 BB
BB: 124.6 BB
UTG: 116.25 BB

Hero posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Jd Ad
fold, fold, CO raises to 3 BB, BTN raises to 9 BB, Hero raises to 22.5 BB, fold, fold, BTN calls 13.5 BB

Flop : (49 BB, 2 players) Js Tc 4d
Hero

I shared this hand with my coach but we didn't get to deep into it yet but it is a weak spot for me (4b pots oop). We have a gto approach and I was told that checking is bad because villain should xb Tx and AQ and we should only concern our selves with getting value from worse since we can't get away vs better.

I was told to shove here so now I am wondering what about the rest of my range. Pretty much all of a standard villains range should have a piece here and I did some simulations and everything in my range aside from KK AA have similar equity vs the range that likely calls so I wonder if I should shove everything in that range?

What about KK AA which has a lot more equity? Would I want to bet 1/3 and allow some of villain's folding range vs a shove (T9s, AQo KTs type hands) to call and face a tough turn decision? What about if I have ATs?

Villain shows up with QTs in this hand so I use combinations of every hand better for his range.