That case will work with a H100i GTX cooler.
It will work with all of these Corsair coolers:
https://pcpartpicker.com/parts/cpu-cooler/?compatible_with=thermaltake-case-ca1b500m1wn00#m=11
You'll have to mount it at the top of the case unless you remove the tacks from the front of the case. In the case of it being mounted at the top, you'll want air to flow through the radiator and out of the case.
I've seen several tests online that suggest that there's little to no difference between feeding the radiator air from the room and feeding it air from inside the case so it won't really matter how you orient the fans.
I'd push air out of the case (fans below the radiator). Otherwise, the only fan pushing air out is the single fan at the...