Since your balis are already in strips, it seems to be calling out to be log cabin around the cat fabric as a focal square. I did it with bird fabric and it worked great! You can use anything between a 3" and 5" focal square and build your cabin around it. It also works for courthouse steps.
I would go a little scrappy and make each block different by using different strips in the log cabin.
log cabin around a focal square
[ATTACH=CONFIG]265562[/ATTACH]