Deniz, would be nice to do that, but here (Texas) Spring/Summer you could find the temp/humidity both at 90 so anything will get a little wet in a hurry unless allowed to reach room temp. - best luck I have had is to used zip lock storage bags and let them sweat, not film or paper.
From the comments so far, it seems that RC paper is pretty happy sitting on the self (as long as it is not exposed to extreme temp changes).
Can anyone comment on fiber? As stated at the beginning, not having a problem, but since I have some space in the garage, was giving some thought to an older or scratch/dent model on the cheap.