My suggestion would be, before you re-drill it, try to modify the cover with some Scotch-Brite nylon pad, either the light grey (around 800 grit) or the green one (~ 600 grit). Take about 1/2 the shine off, by hand, not a spinner and see how the ball reacts. If hand scuffing doesn't work, then use the grey pad with a spinner to take off all the shine, but still as lightly as possible. Better not to pass the point where it works for you.
It is possible that you won't be happy with the results, but better trying a simple measure first than a total re-drill that you can always do.
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"None are so blind as those who will not see."