A wired mouse is always better than a non wired as far as response time, stay away from Bluetooth mice, they have too much lag.
Gaming mice are fine if you want to go that way, they cost a lot of money and for WGT alone, overkill.
buy a decent wired mouse for reasonable bucks. About $20 Logitech is a good brand.
Also some PUSH the button, and some 'Finger Slap' the button for the ding, try which works best for your reflex.
Once you know how to DING, THEN, you can play with 'off dinging' missing the ding on purpose to play the break/ wind.