I thinks that's what I would do too, but I would first saturate the top in a sink of hot water, roll it up into a thick towel and pound on it with your fists to get most of the water out. Think of it as blocking a sweater. If you have a space with carpet that is large enough, lay out a bed sheet and then the wet quilt top. Pin the top through the sheet and catch the carpet. Pull the edges as straight as you can and then just let it dry thoroughly. Good luck!!
PS - the above process is called blocking
