Without Brunswick's Rough Buff, it's very hard to get the same finish.
I'd try Track's Clean and Sheen over a 400 grit sanding; when you finish the ball, try not to press so hard. YOu want to get the cover so it's just short of an actual shine.
A bottle of Rough Buff is not expensive.
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Bowling: Wish I could help me as much as I seem to help others ...
Life ... is what you make of it. No, really!