How about Dunlop Super bright nickel 40-100 give your vintage J a start ?
She has thinner hex core inside and thinner outer winding give you smoother playing feel and less fretted noise.
i been installed a set SBN 40-100 on my Bacchus jazz bass. Here is my personal favor low action setup.
Neck relief .010 on 7th fret check point.
Action 1.6mm E, 1.5mm A. 1.4mm D and 1.3mm G.
Medium plucking hand and no fret buzzing.
Tone are warmth, sweet, relax and crisp. Dunlop SBN are crispy version of DR Sunbeam to me.
If you able find a Pre-2010 Fender 7150XL , this bass string absolutely sound great on both J and P bass.
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hope help