Did you look at the pictures of the St. Donat weavings in detail? That weaver avoided the muddle after a figure by going from broken twill strait back to double face. All the parts between the figures seem to be double face. Much easier to get your starting position correct if you sort the tablets just before starting a figure than building on an excisting set of twill lines.
I think the switch to doubleface has nothing to do with the muddle per se, but more with efficiency - it's easy to switch to doubleface by idling or double-turning every second tablet as they stand in my twill setup, and then it's a simple two forward, two backward for each of the packs, which is very quick to weave and gives the solid-coloured background. Then it's possible to sort the tablets when going back into the "motif mode" again, getting the correct starting position that is required; though for me, right now, it's actually easier to sort all the tablets for a slant in one direction and then switch where necessary. Probably something that will be easier with a bit more practice, though.