Maybe you could fit lenses into the head to give you a wider field of view? Basically the lenses would have the effect of moving your eyes forward to where the eyes of the head are. Don't ask me what sort of lenses you need to do this, it's just an idea.

Basically you're suggesting I do mechanically with far less chance of success
what I purposed to do electronically for less money, since I already have
all the bits on hand, whereas I'd have to research an optical system, purchase
all the bits and try to get it in there, properly focused. I think I'll stick with
the electronic solution. Further digging into the depths of my junk box turned
up a very small LiPo battery and charger which could power the VR goggles
(the main source of additional load), leaving just the camera to be powered
by the fan powerpack.

Well, whatever works. Like I said, it was only an idea (though I know it's possible).