It will work fine. Get the right carrier for it and it will tie to the carrier. The main downside of carrying on a C is that you have to go way up the ladder to load/unload.
If you have a toad, I'd highly suggest a carrier on that... OR get a CHEAPO trailer from harbor freight (I think you can get a DOT trailer for $100-125 without a floor). Weld on some carry bars (Basically a T in front and a T in back) and put the canoe on that.
Climbing and loading is your biggest challenge on the C. It's higher than most think.