I do it all the time. In fact we just did a bird in the crock 2 days ago.
Thaw the bird in the fridge for a couple days first. Crock pot on low for about 4-6 hours depending on the size of the bird. Slather with BBQ sauce or season with spices/salt of your choice prior to cooking. The longer you leave it in, the more "fall apart" it will get. if you want something like pulled chicken, leave it in longer, then pull it apart and just start picking it apart right after you pull it out of the crock and shred in a big bowl. If you want more tender "roasted" chicken, you want it in on the shorter end of the clock so it doesn't fall apart so much.
Skin is... well, skin. If you're health conscious, you're not eating the skin anyway.
Best part is after you're done cooking and removing all the meat you can from the carcass, throw the rest of the carcass, skin and whatnot back into the crock, cover it with water (about 8 cups or so), then put the crock on high for a few hours or overnight. The next day strain out all the bits and whatnot and you have yourself some awesome chicken stock for stuff like soup or cook rice in that you can portion out into 1 quart bags and throw into the freezer.