Do you plan to keep it a single pickup bass, or do you plan to add a bridge pickup?
I've seen a couple original style P basses with a 2nd single coil P pickup at bridge location, but I've never played one.
My favorite bass is P body, J neck, and JJ pickups.
My older Warmoth has 2 SD Hot Jazz Stack pickups, Fender TBX tone, and 500k volume pots.
I get good finger and slap tones with the set up.
My new Warmoth project will have 2 Dimarzio Area J pickups, and I look forward to getting it finished soon.