About a year ago, I was asked to put together a quilt for a fund rasier in honor of a woman who had died from cancer. The fabric had all been picked out by her before she had passed away. When it came to the backing, I didn't have enough of any one fabric, and I wanted to use just "her" fabric. I did a sort of crazy quilt using large random pieces. It came out beautiful. I quilted it on my home machine, but because it was so random, I didn't have to worry about lining up with anything.
Since then, I have tried this several times. Last time, I used large rectangles, and placed them diagonally. Again, it was beautiful and well received.