With that TSH and the symptoms you've described, you're definitely hypo. I think you have a few choices...
1) Find an alternative medicine doc. They tend to be more knowledgeable about thyroid issues and more likely to prescribe desiccated thyroid which many prefer.
2) Self-medicate with something like Nutri-Meds
3) Adjust diet and begin necessary supplementation to attempt to rev up your thyroid
4) Wait and hope it gets worse (strange thought) in order to get a prescription for levothyroxine by a mainstream doctor.
The coconut oil may be revving up your metabolism in some way, leaving your thyroid unable to keep up. You'll have to make your own decision on whether to keep it up. Best wishes.