I really don't have any suggestions for you. See I've wash LOTS of fabric and just dealt with the tangles that sometimes occur.
I can recommend drying only a few 'yards' at a time so there's plenty of room in the dryer for the wrinkle to soften.
Are you going to iron them right away? If so, don't dry the fabrics totally dry. That will make it a bit easier to iron.
Good luck! Take your time.
Nan - IN