Noticed there are some clippers that have more 0s:
00000 - 1/125"
0000 - 1/100"
000 - 1/50"
Maybe you need one of those clippers.
I'm aware of Oster and Andis. Sure there must be other brands to be added to the list.
I never used any of these two clippers, but might give you a shorter buzz then the regular 0.