Steve (TwoHands) and Scott seemed to have covered most everything.
If I might add: The Ogre Pearl is more even reacting for a pearl, more like a polished solid. The Glad Pearl is also even reacting, in general, but has more backend and covers a slightly wider range of oil than the OP.
I haven't tried the New Breed but it's going to be more flippy in general than the other two. I wouldn't try it right now in this problem situation.
I like Steve's recommendation about trying some alternatives with older balls to see where your ideal lies.
I think the Glad Pearl could the solution to your problem, but the right drilling for you, in this situation, could be the snag. Like most balls, a higher pin adds to the flippiness and backend, without ever really getting flippy (unless you have Steve's amount of hand.
).
One other thought: Like Scott's recommendation, I (and Steve and Scott) all LOVE the Blue/Green Centaur and its amazing range ball reactions given its lack of flare. It can smooth out over/under betetr than a urethane. Change the surface to any number of matte/dull finishes from 600 grit to P4000 Abralon and it can work magic. Gloss polish with a high pin and it can give you decent backend, if you have some hand - not a lot is required.
If you stick with Visionary, this ball is a MUST buy.
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"None are so blind as those who will not see."