I have yet another method I forgot to mention, you can use it while cleaning the whole bike. lube the chain with motor oil beforehand and go on a short drive. motor oil contains anti-sediment additivies, which are practically solvents and sulphur. this will get your chain unsticky and really wet. then just give it a good blast with a garden hose on the chain and it's clean.

drying is best and fastest with an air compressor.