I can't tell you how to do it under Wayland off the cuff, but you can map a controller's analog stick to act like a mouse. It's a little clumsy, but that'll let you use any mouse-oriented DE.

Some gamepads, like the PS5's controller and I assume the Steam Controller, have touchpads built into the controller that work as pointing devices.

If you don't specifically want only a gamepad, I'd probably use a trackball or touchpad and maybe keyboard, as a trackball can be used from a couch, lile a gamepad.