I have to agree with Ann, fiber does everything better - except dry faster and flat.
I dry mine emulsion side up on some small fiberglass window screens I bought at the hardware store. Depending on the humidity it takes a full day to two full days to dry (two days during the hot and steamy Atlanta summer)
When I am done I stick them in a cold dry mount press until I need them again, or under some really heavy books. (the only useful thing I have found for my college text books)
Also, you mentioned that the paper seemed thinner than RC. Perhaps you got 'single weight' paper, most fiber paper is 'double weight' and is as thick as or thicker than RC. 'Single weight' curls really, really bad, double weight doesn't.