This is more than possible, I've done it! Alas, I do not have the pictures with me at the moment. They sell cooling fans of the kind that are supposed to go inside your computer case. (Look for 'muffin fans') These don't have USB hookups, just wires coming off. If you know enough about electrics to wire up some LEDs, these should be a piece of cake. In my case I was able to find a couple 1" fans at a local surplus store, but I've no idea where to look for that on the internet. Since your fire is a bit bigger, you might also look into slightly bigger fans. Make sure they've got room below them for air circulation, and plenty of space above. Also be warned that they will make noise.
The good thing is, with that headdress, you've got plenty of room to hide batteries, wires, switches, and all that other stuff. As long as you make the headdress from lightweight materials, weight likely will not be an issue, but if you can, you should try to distribute the stress evenly and make sure that it's attached very firmly to your head. In my case, I was covering my whole head with fire, so I made a close fitting cap as a base, then made my basic framework out of plastic cross stitch cloth. I used pieces of it as a grid to hold LEDs in place and made a "cage" out of it on the back of my head to hold all the electrical stuff and give the flames some volume. Since the cloth is a grid, it was easy to sew to the fabric cap, and then I covered it all in tulle.
Since you've got actual hair to worry about, it will be a bit trickier, but I'm not sure what can be done for that. XD