Any ideas about where the trouble might be or how to begin troubleshooting this poblem?
Sometimes poisoned cathodes can be fixed by sending a high amount of plate current through them, but not always.
A preventative measure is to bypass the switch that cuts B+ to the FM (or AM) circuitry with a 500K or 1Meg resistor. This resistor would keep enough plate current on the tube to prevent poisoning, and yet not make the circuits fully operational.
T.