All of the bed quilts that I have used on my beds have been through my washing machine and dryer. I use the medium cycle and warm water. I use orvus soap for my regular laundry as well as my quilts. I might throw in a Shout sheet the first time I wash the quilt.
All of my bed size quilts are handquilted and I have never had a problem.
I am also a person who threw my daughter's wedding gown in the washer since the bottom 10 inches or so was all muddy from the indoor outdoor location of her reception. It came out beautifully. I did not put the gown in the dryer.