I would second the 360 FE. You can quad mod it with a PowerA Xbox One Mini Controller and Toodles IMP for ~$50. The PowerA controller forces DirectInput if you hold Start + Select (coincidentally, the default switch for the IMP as well) and works on both PS3 and PS4 (in compatibility mode).
As for having wrist space, the FE is kind of the halfway point between sticks like the old HRAPs/TE and the VSHG. You have enough room so that your wrists aren’t resting on the edge of the chassis itself like on the VSHG, but you don’t have enough room (or at least, I don’t) to lay my wrists completely flat. So you end up kind resting your wrists on the edge of the panel, right above where the plexi ends and the chassis slopes down. It’s a nice layout, and if nothing else, it’s unique.