Dont you just love trying to hang big heavy wet sheets out when its windy?? Getting slapped in the face with them, fighting to get them over the line and 9 times out of 10 they end up on the ground and you have to wash them again!!!

My cloth nappies are the only thing I wont put in the dryer but otherwise everything else is fair game. I try not to use the dryer very often but when I do everything goes in it.
If the sheets are 100% cotton then they should be ok. I would try a pillowcase first to check but I reckon the DO NOT DRY would just be them covering their butts.