I had a similar experience. It felt like someone was holding my throat. And I felt like I couldn't swallow or something would get stuck. Turns out I had a lump on my thyroid gland. Once it was removed, the feeling was gone. Just my story...
I have htis feeling all day long...its terible and it started 3 moths ago. I have been to 2 ENT's and 2 gastros. I was told I have esophageal spasms of the upper sphincter. They say stress makes it worse but I cannot get it to stop. The only time I don't feel it is when I am sleeping. It has given me great anxiety for 3 months now.
And there is nothing they can do for you? That doesn't sound right to me. I've never heard of it so I can't really suggest anything. I hope you can find some relief. keep researching online.