When I hand wash, dry quilts I lay a king size sheet out on the lawn, on a nice day with a gentle breeze, lay the wet quilt out on the sheet, cover with another sheet, held at the corners with rocks. Every hour or so I go out & flip the whole thing over. Takes 3-4 hours generally for a nice, fresh, dry quilt.
The top sheet protects the quilt from sun and critter/bird damage. Never hang a wet quilt, the weight of it wet can break threads and cause damage. If you don't want to dry in dryer laying flat is best option.