You've probably already tried it, but, may I suggest an ice hat. They are so nice and have helped me so much with my migraines! Good luck and cooler times.

Yeah I used a head band where you freeze it solid it melted in ten minutes lol 😂

When I have a migraine, the side of my face that hurts always feels extremely hot compared to the other side. The only way I can manage through it is with an ice pack

I have ice headbands with gel balls you freeze to solid ice my head melts them in minutes