Another might be to scoot one coil of each pickup further out from the center line -- it would look off-center (and require, at minimum, a new pickguard -- or a tolerance for gaps in the old one) so that one coil is sensing three strings, the other two. The way the poles are arrayed on the P-46 (overlapping fields approximating a blade) would seem to make it more tolerant of such manipulation than your typical, split-coil Precision pickup. Don't mind me, though, if what you're doing is working for you.