I would keep milking, though I know it won't be easy. Talk to your vet as well- might be an idea to give an antibiotic injection or tube to catch any infection. It's really hard when they are like that, we had one last year who hated having an udder, and kicked it so badly she now has permanent lumps in the udder itself.
Keep using a balm or ointment to help it heal. Even vaseline is good as it doesn't nip if the skin is broken. There are some good aloe creams/ointment out there too.
Beth