I've used a Black and Decker steam cleaner on records with problem spots. I had no problems with warpage. You would have to apply the steam for a very long time to actually heat the vinyl enough to have any sort of problem. I have done this as an experiment, but do not use it regularly because it is NOT very practical (requires way too much effort).
Get a decent wet cleaning/vacuum machine. A very basic model is fine and reasonably priced.
Get a decent wet cleaning/vacuum machine. A very basic model is fine and reasonably priced.