Issues with Insurance

Right now I am with an HMO and currently with a neurologist for a persistent visual aura without infarction. I have been unsatisfied with my treatment with my neurologist, and the treatment that I am getting is absolutely not working for me. I ended up paying out of pocket to go see a specialist out of network to get a second opinion. This doctor absolutely understood my condition, knew the right treatment to move forward, and suggested preemptive tests to rule out secondary conditions that might be related. I absolutely agree with everything the specialist recommends. However, because they are out of my insurance network, my medications and tests would not be covered. They want blood work, head MRV, and a spinal tap.

My options are to go back to my neurologist with the suggestions from the specialist and hope they will agree to run the tests and let me take the results back to the other doctor, and hopefully fulfill the prescriptions as well. Or I can wait until open enrollment, which I think it may?, and get insurance through work, then get the test but still probable have to pay the deductible.

I have found a few options to help pay for my medications without going through my network, but what is the best way to try and get my network to cover the head MRV, spinal tap, and blood work from the recommendation of an outside doctor? Would I be right to assume that I would need my neurologist to order these, and that I couldn't bring these to my primary care doctor? I have had issues communicating with my neurologist, but have an in person appointment scheduled next month.