I have had MS for about 8 years, and since a rather nasty relapse last year, I have had a similar type of pain, particularly in my right arm and hand. It has been diagnosed as neuropathic pain due to two lesions in my c-spine, and absurdly, I also have awful numbness in the same arm/hand, together with weakness and lack of fine motor co-ordination. It is very painful, sometimes worse than others, and really unpleasant to be touched. I also have quite debilitating L'Hermittes which goes with my spinal lesions - if I try to bend my neck at all I get severe electric shocks down my back and arms/hands, if I do it suddenly/sharply, my right arm becomes temporarily paralysed - just for a minute or two. I also have pain and numbness/weakness in my right leg.
My neuro has given me neurontin and amitriptyline, which really do help much better than pain killers, the only problem is they make you drowsy.
I really hope that you don't have any c-spine lesions, but would suggest you see your doc, as there is medication which may help the pain. Getting it diagnosed and then having the right medication would probably be the way to go. We all experience different symptoms, but I hope this is of some help to you.