Most anything like a receiver that tunes below 50 MHZ is less effected by the high frequency radiation from an EMP. Mostly UHF energy.
The electric field would be really all you have to guard low frequency stuff against. Foil most likely will not arc from side to side internally unless high enough surface currents are induced into it.
The magnetic field eminating inside the foil where the radio is would not set sufficient enough voltage at UHF to boil transistors and or FETS. But, if the source was very close, it does not really matter at all anyway.
I have a lot of tube type gear that I pulled out and checked last year. Spare tubes, capacitors, resistors and, other devices for repairing them.
Your best bet would be able to tune into the AM and HAM bands after an attack as an EMP. TV and satellite won't work.