I love the suggestion of not doing the final spin cycle, and leaving the dipes more wet before hanging them on the line. I look forward to trying that, but I refuse to line dry anything if I have to stand in snow in order to do so...
I'm not sure that would work for you though, if you are drying them inside by your wood stove. One thing I have done to reduce stiffness is to throw them in the dryer for just a short time, and then dry them the rest of the way outside.
If you have problems with your baby having sensitive skin, you could also get some fleece from the fabric store and cut it into strips to put between your daughter's skin and the diaper. It will be super soft, and it will also keep her more dry by wicking moisture away from her skin.