I do exactly the same thing as you, Gigi. My two buckets of cuttings are outside in full sun for 24 hrs. each day. I only bring them inside if there is a fair chance for rain or the temperature is predicted to dip below 60F at night. So far I have gotten caught with them outside once when it rained overnight. I simply took all of them out of their buckets and let the sun dry them. I changed the damp perlite (the buckets all have ample holes drilled in the bottoms and sides to allow for water to drain) for fresh, dry, coarse perlite, and back into the buckets they went. That was 10 days ago. There is not any sign of rot or stem softness on any of the cuttings.
