I agree with Leesa... get yourself to a neurosurgeon. You will probably need a referral from a GP or the hospital, but you DEFINATELY need to see a neurosurgeon to access what the damage is. A chiropractor should not be adjusting your neck, he can cause much worse damage. A tens machine is only temporary relief, it will not solve your issues. Physical therapy may help a little, they can at least show you proper posture, apply moist heat and ultrasound and offer simple stretches to not hurt yourself worse.

I am having surgery on my cervical spine in 12 days (ACDF) because of 3 herniated discs and degenerative disc desease, with pinched nerves running down my hands. I too drop things frequently and have excrutiating nerve pain in my hand, arm and neck. I have all of your symptoms. This doesn't mean you necessarily need surgery, but the damage caused by your accident can only be properly accessed by a neurosurgeon, not a chiropractor.

You may need some narcotics to help with pain, and personally I get some (not a lot) temporary relief from BioFreeze (a topical lotion similar to IcyHot, but much stronger) and this can be purchased from your chiropractor.

Good luck on finding proper diagnosis... be firm in pushing to see a specialist, at least with a car accident you can use your insurance company as leverage to get your referral faster.

keep us posted on how you are feeling...
take care,
Cathie