Very interesting Andrew. Love DIY projects.
You could also use a PIC to sense the temperature and turn on relay's etc. Some have a few analog to digital converters, so you can sense the ambient temperature and scope temperature at the same time.
That way it would be totally self-contained. If you use a
PICAXE you can program them in Basic if you have limited software writing skills.
How about sewing the nichrome wire into cloth, or whatever doesn't burn

with sizalation on the external side. That might keep heat loss down and directed towards the scope.