Our hospitals would do the same thing if they determine it is not emergency requiring immediate surgery. They want us to see our Dr's for ongoing care, the ER here is only for critical care and triage.
Several of those meds you mentioned never helped me, like I said before, Gabapentin really helped with nerve pain. Maybe dr can up the Targin to 10mg. Stop the endep and try a different anti flammatory. I had great results with 400mg of Lodine. OR get the steroid dose pack.
It is very difficult to isolate the focal pain generator. It took years and years to be sure with me.
Perhaps an MRI with contrast might help show your impingment better.
Don't let fear rule your life. I know the feeling of not knowing and wanting faster results will eat you up and make you worse.
Ice more, it takes a lot of icing.
Try and Take a few days of doing absolutely nothing.