Your problem seems to may have two sources:
- a RF amplifier with unstable regions out of the desired band is prone to oscillation and this can kill it very fast. Oscillations of such kind often happen during switching on or of the DC power. You have to make sure this can never happen, e.g. by delaying the DC gate bias to "open" after the main DC voltage is applied, and switching off the gate voltage before switching off the main DC voltage.
- the RF input must be carefully filtered and limited before applying it to the wideband RF power amplifier. Any stray signal, out of band and above the maximum input power can cause problems. Overloading the amplifier by 2-3 dB can cause limiting but longer exposure will kill it. Again, input power and output SWR monitors must be used and well adjusted. If possible, use higher-power amplifiers to deliver a lower output. Test carefully the DC power supply and gate bias circuit: glitches do kill fast! Handle the temperature carefully, with spare fans, etc.