How can I dry a chain?
A method I've used a lot is after the chain is thoroughly clean but still wet, use an old hair dryer rigged up to be pointed into a small bucket, in which the chain is sitting in a wire basket or similarly suspended. It takes about three minutes to get the chain dry and hot. At the particular shop I was at where this was the protocol, we'd then pull the chain out with a spoke and dip it into a jar of Boeshield T9 for a few seconds, then pull out and let drip dry. The heat does a lot to pull the lube into the inners of the chain, and the results look and feel like a new chain out of the package. I imagine a lot of lubes would have the same result, although you need to develop the system in a way that doesn't cause fires (choice of lube and how hot you get it).

An old toaster oven would probably work too.