I don't know if it would be easier or safer to enclose the passenger compartments in a Faraday cage or the wiring components in shielding.
According to the FAA, the GPS antenna must be in a non-icing location, but it sounds like there are already multiple GPS antennae on an aircraft.
http://rgl.faa.gov/Regulatory_and_Guidance_Library/rgAdvisoryCircular.nsf/0/8a2ae2491c85226f86256e35004c638b/$FILE/AC20-138A.pdf
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