If you shorted the fet input, would that cause any harm? If no to both questions, consider shorting the input to the fet with a normally-closed relay with a coil that runs off the low voltage supply.
Alternately, can you just prevent the high voltage from going on until the low voltage is on? If it's a line voltage powered high voltage supply, maybe just use an ordinary relay (or SSR) to switch it on and off. If you need to switch the high voltage itself, it looks like you're looking at fancy reed relays ($30+).