Isaac has dermatitis and eczema, too. What we've found is that we have to rotate all the things we use to try and keep the skin from breaking out too much and creating too much of a sensitivity. Between rotations we use aquaphor or lansinoh (weird I know!) When he has baths we use oatmeal to help heal and soothe the skin. As for sites we change them every two days and rotate the sites a lot. When we use the CGM we can't go over a week without any trouble, and even that is sometimes extra rough on his skin.
So, my suggestion is more palliative - try and heal the skin, rotate the skin prep you use, rotate the tape you use and when you can (even if for a few hours) give her skin a break.
I hope something helps, it is no fun to remove a site and see a raised sore spot on their skin, nor to have to keep doing the CGM just due to irritation.
wife to TJ (t1d for 20yrs) MDI lantus/humalog
mother to Ethan (non-d) 8 years old
and Isaac (dx 11/09 at 19 months old) 6 years old, pumping on MM Revel (6wks post dx) with Novolog and Dexcom G4 (love it!!!)
~dx with Celiac Disease July 2013