Alas, it did not stop, so I used a towel and a piece of rope to make a neck brace, which really helped me keep from stressing my neck further.
Instructables member superlefty (who is also my sister) was luckily in town and was able to help me demonstrate how you can make your own neck brace too.
Check out her writing at www.superlefty.com. It's awesome.
Step 1: Materials
Step 2: Fold the Towel
Step 3: Wrap the Towel Around Your Neck
Step 4: Wrap the Rope Around Your Neck
Step 5: Tie a Knot in the Rope
Once the knot is tied, it's done!
I could barely move my head after I tied mine on, which was great since just about any movement made me wince in pain. This kind of head immobilization would be really good for stabilizing victims of neck injuries in a pinch or even just for dozing off on the airplane without having to worry about your head flopping onto your neighbors shoulder.