I just picked up qchq.com, now that qc could stand for many things me thinks. The hq would stand for headquarters, nice and short what your thoughts on this one.
Also perhaps Quebec City? You could make it a fan club site of the Queen City Kids, or go with Queen City and make it a gay site... seriously though, it's not worth much just as name. Maybe $20 because of it's shortness but I would bet on reg fee simply because it's so hard to use this name for anything.
I think this domain has much of value simply because of the letters and their sequence in the domain. It's not very easy to pronounce and remember. Also there aren't many concepts you can use to build a site on this name.