One way to deal with scraps is to choose a shape and start collecting lots of them. I used to collect shapes for charm quilts, but it was too hard to keep track of which fabrics I had or had not used. These one block quilts are of the non charming variety, but I like them just as well.
I have been cutting old shirts into 6.5 inch tumbler blocks for a while now. Old shirts make the softest and most cuddly of quilts.
I just got the small tumbler die and started cutting smaller scraps into these 3.5 inch blocks. Smaller blocks are so much cuter, but it will take lots more of them to make an entire quilt. Maybe these blocks would like to be a place mat or a bag of some sort.