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There should be an option in CCC, what drivers are you using?
V-Sync will just limit the maximum frame rate, prevent screen tearing and on some setups it means a much smoother experience, it will not however have any effect on the minimum frame rate, if its hitting 20fps having v-sync on or off will make no difference.
Any mods running ?
Can you run some benchmarks (3d mark 2011) to see how you system competes with other similar spec systems out there? .If you get a score that's much lower to any other similar setups it means that there is something wrong with the card. If the scores are similar it might mean that there is something wrong with the drivers for playing Skyrim. Can you also check the clock speeds of you card? dont suppose it managed to underclock itself somehow?