The problem I was running into was my lack of experience with Pulse Width Modulation. I do not know how to control the light to warmly heat up, as you say, but if there were a way to do this without overly complicating the entire process, that would be great to know!
Is that not what I am trying to do currently? The problem it brings up is that the numbers are too high. 12 Volts and 5.535 Amps are something that I too would not want anywhere near my face
For "small" amounts of heating, you can use relatively high-value resistors.
For instance, a 100ohm resistor with 12V across it is about 1.4W (use a 2W resistor!), which should be much more manageable than a nichrome wire. Make that 10*10ohm 1/4W SMT resistors connected in series with fine wire or on a thin PCB, and it wouldn't even be that much bigger than a wire.
Or, consider lightbulbs operated at less than visible brightness (finally! An excuse for all those internally-illuminated space helmets you see in SF Films! (although the non-linearity of filament resistance may be problematic.)
I have been thinking about this idea, though midterms gutted me for the most part. What kind of lightbulb were you thinking that would be small enough to fit inside of goggles, or possibly just outside of them? I know about terrarium heaters, though those bulbs seem quite a bit too large.