I totally agree with finishing if you can, or giveing it to someone who wants to finish it. There are so many people who would like, no who NEED a warm quilt. Some people in other countries use them for walls in their little houses to separate the kitchen from the bedroom. Check with church groups. Many of these make quilts for sending to charity, and will take anything.
If you finish it yourself, remember the batting can be pieced, and the backing can be all leftovers, ugly fabrics, or anything you want to get rid of. To me that would be very freeing to see some of my ugly fabric LEAVE.