@Spirit-Harmony firstly let me say loud and clear that the burns will heal quickly once radiation stops. I, like you burnt badly and I started to panic knowing I still had treatments to go. The nurses told me I would heal quickly but I didn't believe them, thinking they were just trying to reassure me.
After each treatment I saw the radiation nurse who used only Solugel. I wouldn't use MooGoo until your burns have healed up. I also had mepitex put on top of the Solugel. This is not an adhesive but if you are allergic to it I would try Gladwrap cling film . The aim is to stop the Solugel from drying out and to keep applying it. My nipple also broke down and I had bad blistering. All the best . xxxxx