I finally came up with a layout I'm somewhat happy with for this project. I sewed up the rest of my scraps into a few small blocks and played around with them for a center. It's still a mushy quilt and I guess always was going to be. Lesson learned, when it comes to buying/picking fabric for a project.
When I posted my original photos of this project, I received a couple of suggestions about recutting the blocks or sashing them. I decided not to recut any, because I was trying to stretch this into a 50x70" donation quilt top, so I didn't want to lose any additional size in more seams. The triangles which I used along the 2 sides were already cut (setting triangles from the original attempt) - I had placed them into squares in the first photo thinking I'd sew them together, but I decided I liked this idea of sewing them into strips along the edges more.