Personally I would do some sort of design meant for borders or sashing down each ribbon and then maybe orange peel/continuous curves in the white squares. There are plenty of simple designs that you could use -- vines, feathers, curls, waves, etc. APQS has some nice videos on this sort of thing on YouTube.
You would only need to pick maybe 3 or 4 and keep using them. Or even just one. If you weave them over and under like the ribbons it would be awesome.