I've had a lot of success with using Neosporin on small areas, but some of the chemicals can soften scales and make them come off, so I'm betting that's what's causing the scales on her back to come off.
I imagine you already do, but do you have her in a hospital setup with just paper towels as bedding? That'll keep debris out of the burns.

It's good you're going to the vet again tomorrow, let us know what they say.