Thanks for the replies, guys.
At this point, I just want to make some damn pictures and stop wasting time and money, so I think I might just shove 'em into the hot box.
I was mostly worried that they wouldn't be as effective that far from the negative. I figure if I don't put them into the VC box until I'm ready to print, the bulb will only be on for seconds at a time, and it won't get terribly hot in there.
As far as gear goes, those Ilford Multigrade Filters are quite a bargain (got an incomplete set free, and a full used set on Amazon for about $10), so I consider them to be a disposable item. Fry them up, get a new set.