Just curious--with the overwind, do they have less of a midrange scoop with both pickups at 100%? I would expect this, and it could be a solution to the hum issue if you want more fatness and don't mind the loss of treble from the overwind. I normally roll back the treble a bit, so it might work for me.
But on my 2003 Jazz, I have noiseless Fralins, and IMO they are amazing. They don't give up much at all to pure single coils. I've tried several noiseless J-bass pickups in three different basses, and the Fralins are my favorites, but DiMarzio's Area J is fantastic too. It's about 90% of the tone for half the price.
Then there's the Lace Man o' War, which I have in my G&L USA JB. They are true single coils with greatly reduced noise through the Sensor shielding technology. They have modest output and sound thicker than traditional J-bass pickups, but in a band mix they are great. The extra thickness makes them sit in the mix almost like a P-bass, and at high volume they can sound pretty aggressive. Overall, I think they're great. Extremely versatile.