Electric Hollowbody Guitar Hum

I purchased a OE30 Oscar Schmitt Washburn , and it was humming like a 60 cycle hum . Once I touched the strings it reduced.
I had it rewired with shielded wire and it reduced further.I was considering lining the cavities with copper foil.
I was using a Fender Frontman amp FM25R , which has a lot of gain , only run on 2- 3 , and I still had that annoying hum.
My acoustic electrics worked fine in the Fender amp .
I happened to try it in my other amp a Crate BX15 ,and it works fine. Could it have something to do with the amps input impedance?
Any advise?