Low top weight balls tend to roll slightly earlier than higher top weight ones (like short pins do so more than longer pins). What kind of equipment you'd need to measure that is a different story.
If you're worried about how your statics will end up (like too much bottom weight in the drilled ball), you could try drilling your fingers as shallow as possible. For a fingertip drill, you really only need a little more than an inch, if that much, especially if you don't use grips (can't remember if you do or not). Same for the thumb. There's probably a "standard" depth for those holes to accomodate grips or thumb sleeves, but with a little zeal, you could drill them shallower and trim the inserts.
SH