ganchan --
I've found those blue-ice type packs -- the dark-blue, hard sided ones with real corners are the best -- with a towel wrapped around them to soak up moisture, are terrifically helpful, especially when left to rest on the front and side of the neck. So much blood rushes through the neck, in huge arteries, that the cooling effect is virtually instant and amazing. They take a long time to defrost and come in many different sizes, including two different ones that both will fit between jaw and collarbone. They can take me from misery to feeling pretty good, and are almost always on sale somewhere.
Even if you don't have a freezer, do you have a freezer at work? or a friend with a freezer? Because they will give you hours of relief.