I know you didn't ask me this question, but plugging it in to a "heavy duty" surge protector is just adding more points for arcing to occur. So I think that madpenguin would say don't do it.
I understand your trying to build a fireproof box, but I think your just adding more things to go wrong personally.
Yeah, I had many surge protectors burn out on me, more than timers, as a matter of fact. Good call!