Hi Tug,
I've never had a windlass on any of the boats I've owned -- most of which were bigger than the C-dory. The trick is patience. Always anchor off the bow -- setting is easy (of course). To retrieve, I just motor slowly over the anchor, and then slowly pull up the rode until it is taut. Then, tie off the rode on the bow cleat, and let the motion of the boat slowly disengage the anchor.
Depending on the wind and swell this can take a while. But, by letting the boat take the weight you save your back. Then, once it pulls loose, you can simply pull up the anchor and secure.
Sometimes, as Colobear suggested, you'll need to reposition the boat to get over the anchor. This all goes a lot easier if there is someone else at the helm, but I usually do it myself. And, I'm not a big guy.
Windlass would be a lot easier -- but the old fashioned way has never let me down. Good luck! Let us know how it goes!
Matt