Get the coarse and fine of these 3M drill attachments - https://www.amazon.com/3M-Scotch-Brite-Fine-Finishing-Sander-9416NA/dp/B00004Z4DK/ref=sr_1_9
For each pair you should be able to do at least 4 games. Well worth the money.
I bring all the ball guides to the vice in my garage and secure them, go over all of them with coarse, then switch out to fine, then wipe down and wax.