It's difficult, no matter what kind of player you are, to go an 18-hole round without scoring a single two. It's happened just four times in MCMM history, in fact. Usually, a player can get a two through sheer luck, at least, but sometimes the miniature golf gods just conspire against your putter.
The following players have achieved the feat. The numbers represent (in order) the number of holes-in-one, twos, threes, fours, fives, and sixes in their unique twoless rounds, followed by the round score. As you'll see, one player managed a hole-in-one but no twos. Amazingly, his single ace was on a par-4 hole.
Michelle Arf, Libertyville, 2003: 0-0-5-6-6-1 (75)
Nat Ahrens, Action Territory, 2004: 1-0-6-5-3-3 (72)
Ben Lee, Action Territory, 2009: 0-0-6-4-5-3 (77)
Carolyn Carmody, Sisolak's West, 2009: 0-0-6-5-2-5 (78)
Miranda Peter, Aloha Falls, 2017: 0-0-10-5-2-1 (66)