It might be worth using larger seam allowances, as well. I made a velvet and satin purse, and it fell apart because the seam allowances raveled. But it could have been partly becuase it combined satin AND velvet, and it was a big pain to sew. Those two fabrics do NOT play well together.
A log cabin would lend itself easily to sewing on a foundation, and maybe even quilt as you go, which would stabilize it a little more than tying, and might even make it more durable.