I am always hesitant to use Neosporin cream because it seals in the infection just as much as anything else. Hopefully the Neosporin foam will be able to clean it out thoroughly so that it doesn't happen in this case, when applying the ointment.
I had a chin who had almost half her foot bitten off with bone exposed. It was horribly swollen and red. Epsom salt soaks and trimethoprim sulfa for 2 weeks and she was good to go. She actually enjoyed the soaks. I used a baby medicine cup that comes with children's cough medicine and added the epsom salts and warm water to that then held her and dipped her foot in. She was also a spazz, but she liked those soaks.
If you're using Baytril be sure to monitor her eating. If you're comfortable with it, have him show you how to give it by injection instead. It's a lot easier on them and doesn't give them the stomach upset.