@ICE: Whoa, right! You had me to think the right way around!
I was considering to do a hole slightly SMALLER but actually you are SO RIGHT!
drill a hole just slightly bigger than the screw diameter and probably wiggle the drill bit a bit inside as well so you have a slightly wider entry and exit hole -- useful for when your holes aren't 100% exactly lined up
THAAT'S IT! God, that's a thing I wouldn't have thought about...
Uhm, do not take my over enthusiasm for sarcasm, it isn't! I really am HAPPY!
So, I'd use the base holes (that base I'm removing) as a template for where to drill and do that...
Seriously, thank you ICE.