Need your advice! Natural fibers that stay soft when line dried?

[navyswag]

So I love my diapers and inserts that stay soft when I line-dry them and don't need to be fluffed in the dryer afterwards. I'm thinking of switching my entire stash to those types of diapers/inserts to save time and money but that's a different subject. My question is, are there any natural fibers that don't stiffen like crazy when line-dried? My cotton inserts and my OBV-topped bamboo inserts do and I'm thinking of switching to hemp or bamboo for my heavy wetter. Also part of the reason I need everything so soft is because of my LO's super sensitive skin. Oh the joys of a sensitive-skinned heavy wetter!