Sounds like Neropathy, or nerve damage of some sort. Gabaprntin or Lyrica can help
I have the same proble... Did you find the solution?
Buzzing? It looks like you have some nerve issue. This could be due to blood flow obstruction. Do you feel any numbness too?
I found this:
https://www.healthline.com/health/isolated-nerve-dysfunction#causes
It doesn't mention your neck, but it does mention that pudendal nerve entrapment can result in injury to the dorsal nerve of the penis. It usually is seen in bike riders, though.
Have you seen a neurologist? That would be the next step.