Cleaning out the trac-ball contacts was always a hassle for me. I use an optical mouse, which I have had for years. My only hassle with it is that the PG/VG drips get under it, and i then have to wipe off the bottom and the desk area where i use it. Minimal hassle, compare to the alternative. Just switched to paper towels. Much better for catching kanthal scraps and wicking, just toss it.
I use an evoluent Vertical Mouse 3. It is an extremely high resolution optical mouse, so a movement of only an inch covers my entire 25" monitor screen from side to side. It was recommended to me by my doctor as it is extremely gentle on arthritis and Repetitive stress injury situations. Expensive up front but my last one held up for nearly 5 years even though I am a gamer and really put a ton of stress on a mouse.
I use one of those microfiber cloths rather than paper towel. Works great and washable so cheaper long run. If you watch the sale bins Walgreens often has 10 packs of these cloths for $5 or so.