Some single-coils unfortunately just have more inherent audible 60 cycle hum than others. Shielding is step-one, so good that you've done that.
One thing I've done in the past is to use a .0047uf cap (or something close to that) to send to ground the highest highs via switch or pot. You could for example install push-pull tone pots, and make the up-position swap the stock tone cap for a .0047uf. Then when you roll off the tone, it will only get rid of the highest highs, which should leave your overall tone intact, but cut down on some of any annoying hiss that is present. It won't get rid of all of it, but should make it more tolerable.
Some may recommend a pedal like the EH "Humdebugger" which can help BUT will also have an impact on your tone with strange glitchy digital sort of artifacts... they are subtle, but were noticeable enough to my ears to make the pedal useless. I preferred to just deal with the hum of a solo'd Bisonic than to let the "fix" mess with my tone and dynamics, but others may have different experiences.