i found this summer that putting a wet quilt across our hammock in the back yard worked great for drying :)===faster than just on the ground. (still with sheet under & over)
as for determining value- you might want to find an appraiser- it is about $40 to have a quilt appraised- then you will have documentation showing the value- and you might be surprised! quilt appraisers are trained, and certified by the American Quilter's Association and will give you a certified written appraisal.