I just got a wet record cleaner - a Knosti "disco-antistat" that is labeled as being made in Germany. It appears to be a bit similar to the "Spin Clean" (bright yellow) device but instead of scratchy velvet pads it uses camel- or goat-hair brushes. I have read that one should do a second clean in de-ionised water after the cleaner to make sure everything is gone. Anyone else used one? I am waiting to hear the first results from a really noisy copy of Tubular Bells as a test, but nothing is dry yet...
Edit - couldn't find my bottle of de-ionised water so they didn't get that second treatment. Complete drying in a coolish Canberra room took about 10 minutes.
The result - it seems to work perfectly. The previously un-listenable copy of (quadraphonic) Tubular Bells has become silent in terms of scratchy surface noise. No gooey residue on the stylus as some web comments suggested. I have filtered the solution using the supplied device back into its bottle. I will do a few more and report back again, and also try the second water bath, but not tonight.