Since it's a queen size I would take it to a laundromat because it would get cleaner. If you can lower the temp a little in their dryers, dry it there or else line dry it.
I don't know why people get the idea that a hand quilted quilt needs special care. The one on our full size bed has been used for around 12 years and I haven't had a thread pop yet and I just toss it into my home washer and dryer....oh it's hand pieced too and has no weak seams. Maybe it's from the memory of those "hand quilted" you buy at department stores that are poorly constructed.