The Amish do make tied quilts. Check out this site.
http://www.amishworkshops.com/category/Quilts-3
Here is a site where they were raffling a hand-tied Amish quilt (third paragraph). This a neat place, by the way.
http://www.opt-btw.org/Trike-About%202011.htm
So even though,, they usually quilt, some are tied. So you can still be authentic if you tie your quilt.