I agree with adding a humid hide to help remove the remaining stuck shed. In regards to feeding I guess there are two basic approaches.
#1. For some keepers, and some snakes, just getting the animal to eat is the highest priority. You can always transition to a different prey type later. This is certainly true.
#2. (My approach) is a little more straightforward. I’d rather start the transition to what I want them to eat in the beginning. A few of the snakes I bought were raised on live prey. I never fed them live prey and only offered f/t meals until those snakes ate. I usually keep mice and rats, because I feed most of my snakes a varied diet, but when I wanted to transition a snake from mice to rats. I only offered them rats until they ate. I was fortunate that it only took a few months for my snakes to get on track, but BPs can be more stubborn/picky than many other snake species and may require a little more tough love. She will eat eventually though. They ALL do.