NOOOO Don't shave your head. You have suck pretty brown hair.
Maybe a short cut. I've always had long curly hair and got tired of it a few years ago (my hairdresser also burned the crap out of it), so I cut it short. The change was nice.... and I've kept it short because of the heat.... but I miss the long curls that I had. It'll take me a few more years to get it like that again.