The bulb has to get power somewhere, is there another power cord going into the head?
Certainly there are power supplies (ie some Durst power supplies) that use a small current signal from the timer to turn the bulb on-off, without running the whole bulb current through the timer.
Which color head exactly is it? I'm sure that this can be sorted out.
The easiest solution would be to just get a timer that has another safelight socket. Timers are relatively cheap and sometimes free.
It's a 45 Dichro Color head, the older model.
Yes, the head and color computer stay powered while the lamp is extinguished. Hence my suspicion that the "lamp plug" simply supplies signal to some kind of SCR or other arrangement that actually powers the bulb. But I don't have schematics, and I hesitate to tear into it if it's working properly. If it was broken I'd have it apart already.
I want to get a good F-stop timer, but I stumbled across a decent Paterson digital timer for the opening bid. (Shipping cost more than the timer!)
I've got small ice-cube relays in my junk box, and so long as signal and a small incandescent bulb for the safe light are all I have to power I can do it for the cost of my labor, which - although *I* think it's very valuable on the open market - seems to be more plentiful than spare money these days. If I need something capable of powering the 250W bulb, then I have to scrounge some more. I don't have anything quite that stout on hand.
Of course, I could simply start scrounging now, and note that a 250W is easily under 3amps for a contact rating. Places like All Electronics have stuff like that occasionally.