I agree with the 10 count that Tartan suggested. I would probably use ziplock bags (cheapie ones for sure!) vs paper plates. And/or both come to think of it. You could make your 10 stacks onto paper plates and then stick in a ziplock. This way if it gets knocked over for some reason it's reasonably well contained. I also use 3x3 sticky notes either inside or pinned to the ziplocks when I have complicated patterns. Where they go as to row number and position within the row if possible.
I also agree with working in horizontal rows and initially smaller rows.
I tend to work from the inside out vs up to down or side to side. If you have the room to 'cut as you go' as well as piece as you go - that might be the best option for this quilt. I tend to do all/most of my cutting and then all/most of my piecing.
All of that said I did a quilt last year that was all green/brown/beige batiks in a softball field pattern. I did have to do quite a bit of cutting then piecing and back and forth with that one to get dimension/scale correct. This quilt might be one of those.
Good luck.