Originally Posted by masque
lastly, if you feel changing the pickup will correct my issue then can anyone turn me on to some they like??
I can't provide any better advice on troubleshooting your noise issue than has already been provided - although I will encourage you to be most thorough and methodical in the way you approach it. Leave no stone unturned, and all that. That would include obtaining some kind of tangible warranty support from Fender - if required. We're talking a new preamp and/or new pickup(s), etc.
If, at the end of the day, you decide that you would indeed like to swap out the stock Fender N3 noiseless pickups, you might wish to consider the Bill Lawrence / Wilde Pickups P46 Precision pickup + J45 Jazz pickup. Not only are they also noiseless, but they were designed by Bill Lawrence - the same guy who designed the Fender N3. In fact, many more knowledgeable than I consider the P46 + J45 to be an actual refinement of the N3s. And FYI, they are also designed to function as a matched P/J set - which many, if not most, P/J sets are not
I haven't actually heard these in performance yet, so I can't attest to them on the basis of personal experience. But if I were you, I would at least search out some reviews before committing to a purchase. Based on everything I've gathered about them, they would work very nicely in your American Deluxe Precision. Bonus:
They're really cheap