Yeah, I doubt it is the pups.
Firstly try a ferrile (ferit bead), or what ever they are called. wrap the pickup wires through the bead a couple of times. If that does not work, then send in the electronics to Alembic. Of course be prepared to wait a while as it takes them a long time before Mr. W can get to it. I waited about 6 months for my Distillate electronics. The thing that really upset me about the wait was that 1) I was told it would be 3 weeks, not 6 months and 2) I never got an email response as to why the delay or what was happening.. I was really upset with Alembic for that, but in the end I did get the electronics back and they work as promised... Now that that episode has passed I am a little embarassed by my impatience, but it would have been nice for an email.... So there you go. Send in the electronics, get them fixed and you will be a happy camper.
Al