The title gets my idea across in a pretty brief fashion. Drying frames are hardly any more complicated than a roasting spit- its just four big sticks with string tied around them at the ends. I can understand how those would be cumbersome as hell to lift and carry around because of their shape- even if they wouldn't be all that heavy, but I think it would be totally fair to allow people to temporarily dismantle them and them set them back up somewhere else, just like you can with roasting spits. Hell, have it take up 4x4 of your inventory space if it really has to but still, people should be able to readjust or move them with them somehow.
If I am braindead and have somehow missed a mechanic that allows for something akin to this or some other way to transport them, spit in my direction and flay me to your heart's content.