One of the wonderful things about a scrappy quilt is you can go in any direction you want. I have made a number of scrappy quilts that incorporate dozens of different block patterns and because of the scrappy nature of the quilt they all came together perfectly. I have also done given patterns using the scraps in the same pattern. This one sounds like it can be scrappy patterns as well as scrappy blocks.
I would think using the strips for a sashing between you scrappy pieces.