Most full towers should be able to support 4 cards with either 9 or 10 slots being pretty common in a full tower chassis.
The Cosmos from CM is one that stands out.. Lian Li will have options too and then there is the likes of the Corsair Obsidian 800d
Choose a Case - PCPartPicker
Nice list of full towers.. You'll need to have a look and see which have the 10 slots your looking for.
Pretty much any mid range Mid tower can take a H100 too so that shouldn't be an issue but as with everything check anyway to be sure..