Fox, I tend to agree with Dennis.
First, a story. I went to visit my son at college one weekend for one of their schools football games on Dad's weekend. Nice!
We had some extra time so we made it to a hockey game that night and we managed to go over to the union hall for some bowling. I didn't bring my bag, balls and shoes, so I used house equipment instead.
We bowled three games and I did okay. Had fun, but when I got home the next day my fingers hurt for a week. My bowling balls are all drilled fingertip and I seldom squeeze the ball. I try to relax my hand as much as possible. With that darn house ball I had to hold on to it rather than it hold on to me otherwise it would fall off my hand. I paid dearly in pain for several days later.
So I can feel your pain Fox.
There's not much you can do except to learn how to use bowling tape which is sold in the Pro Shop
at the lanes. There is white tape and black tape. The Pro Shop
guy can show you how to use it if you go that route.
I suggest that you get yourself a ball that fits your hand whether it's a new one or a plugged and redrilled old one. Actually one might find a decent old one at the Goodwill Store if you have one, but you'll still have to pay for plugging and redrill.
Best of luck...