Use whatever mouse you have. It will work just fine. Sure, you can get a fancy mouse with buttons galore to bind to but D3 is a pretty simple game in regards to assigned keys. So, no need for overkill or overspending on a mouse just to play this game.
I'm using a Logitech M705 and It works good. I too am usually on my couch when gaming, and using it on the couch without a mouse pad it still tracks flawlessly. Comparitivly I also have a cheap 15$ walmart mouse and a mid priced Microsoft mouse and they both have issues tracking on the couch fabric and actually the cheap one works better than the MS one lol. These are all wireless lazer mice (do we call plural computer mouse mice?? )