I think your main problem is that your cutting table is too low. You shouldn't be leaning over to cut. I use Judy Martin's method, and I use silverware trays (as she suggests) to organize the strips. You actually have more cutting to do when you use strips and trim them after sewing.
This is my thread from the first log cabin quilt I made - shows the silverware tray organization.
http://www.quiltingboard.com/picture...in-t23612.html