hmm I'll tell you I can relate to this problem
I have a 314ce 3 months old, bought an amp for it, Fender Acoustasonic. Annoying static and popping, only on the instrument channel on the amp, not the mic one, tried different cables and stuff, assumed it was the aux input, so sent er back to fender to get a new one and now its doing the same.
So im thinking it might be somewhere in that Taylor Expression System, so Im thinking of sendin er in and seein what Taylor can do about it.
However, radio sound is a completely new and interesting problem..
so I'd say maybe try sending er in?