Bob, I’d try a set of .040 - .095 strings such as the ones I’ve linked to below. Be careful tough, this particular set is medium scale — I’m NOT sure if you need medium scale or short scale strings on your PJ (I think medium? Anyway, don’t take my word for it). My Mustang is an MIJ and I just use regular scale length strings on it, but that won’t work for the PJ as the PJ has a different bridge. Anyway, as an example:
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The string set will affect how much tension needs to be on the trussrod, so you should have your tech put the strings you want on before/while doing the setup.
The strings that come stock on the Mustang PJ are, I’ve read, .045, .065, .085, .105
On my MIJ Mustang, I’m using D’Addario XL .040 - .100s. Definitely easier on the ol’ fretting hand than the .105 sets, and I’m never going back up to thicker strings again.
You can probably go even lower tension than those .095s by going to a round core set (for a given gauge, round core strings are lower tension than the more regular hex core strings). However, like anything else, going too far in one direction (such as super low tension) might involve trade offs. Anyway, I’d give those .095s a try.
Good luck with your efforts!