The rule that governs a gripping hole and non-gripping hole that meet at the bottom is below, it's actually the vent hole rule. Unless the balance hole in question is less than 1/4" in diameter the ball is illegal. -- JohnP
Holes:
The following limitations shall govern the drilling of
holes in the ball:
1. Holes or indentations for gripping purposes shall not
exceed five (5) and shall be limited to one for each
finger and one for the thumb, all for the same hand.
The player is not required to use all the holes in any
specific delivery, but they must be able to demonstrate,
with the same hand, that each hole can be used
simultaneously for gripping purposes. Any hole that
cannot be reasonably shown to be used with a single
hand would be classified as a balance hole.
2. One hole for balance purposes not to exceed 1- 1/4
inches diameter. This hole may not exceed 1- ¼
inches at any point through the depth of the hole.
3. No more than one vent hole to each finger and/or
thumb hole not to exceed ¼ inch in diameter. USBC
considers a vent hole any non gripping hole that
intersects with a gripping hole at any depth. Any
hole intended for use as a balance hole that intersects
with a gripping hole will instantly be considered
a vent hole. This hole may not exceed ¼ inch
at any point throughout the depth of the hole.
4. One mill hole for inspection purposes not to exceed
5/8 inch in diameter and 1/8 inch in depth.