I know exactly what you are experiencing. It happened to me in 1991. I was a cop at the time. I was in a car chase when the left front tire came off and I flipped the cruiser several times and came to rest against a tree and a few parked cars.
I walked away from the crash at first seemingly unscathed other than a few minor scratches and needing an underwear change. As a precaution I was taken to a hospital ER. I was examined by the ER doc, x-rayed, etc. and given a clean bill of health. I finished the remainder of my shift and went home and to bed.
Upon getting out of bed the next day I had a hot, burning and numb sensation to my left arm. I didn't think much of it because it seemed to fit the soreness and stiffness from the previous evening's crash I was experiencing systemically.
As I woke up a little more and tried to stretch and workout some of the stiffness I grabbed two 30 lb. dumbbells I had and tried to curl them. The right arm was no problem but with the left not only could I not curl it but it just unexpectedly fell out of my hand to the floor and I had no control at all over my left hand and arm. As far as pain went there really was nothing but this aching like a toothache in my left arm on the interior surface and between my thumb and index finger. This was a serious OH SHIT moment not unlike yours I'm sure.
After an MRI and neurological tests it was determined I had herniated my cervical disk between C5 and C6.
I had a fusion and lamenectomy which has left me with near constant pain in my neck and a 25% neurological deficit to my left side. I'm not trying to frighten you; I'm sure you already are. I just want to be totally honest is all.
Weight training has helped me compensate for the neuro-deficit but not much works for the neck pain. I've just learned to deal with it. It's been a mixed bag, but I train heavy and I train hard. If this is your fate too just know the procedure is much better now and I'm sure your outcome would be better than mine. So get your butt in to a neurologist/neurosurgeon NOW! Don't wait.
Also, if you could, please let us know how things go.
If I can be of any assistance feel free to lean on me. I wish you the best of luck.