I've used all of the Big Three at one time or another. Started overlapping - first golf book I ever read said to. Then tried baseball grip - good distance but major control problems. Went back to overlapping for 30 years.
About four years ago, I went to interlocking. Interlocking gives me more even grip pressure - and, I don't tear up golf gloves as fast.
My job contributes to grip pressure problems. I spend a lot of time on the computer doing heavy graphics mousing, and overuse my right hand. The right seems to relax a lot more using interlocking.
I think the key is find a grip you like and blend it into your golf swing. History lesson: Hogan recommended the overlapping, while Nicklaus used the interlocking. If I remember correctly, both guys won a lot of golf tournaments.