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Hello. I'm sorry to hear about your dog.
I am worried that this is actually an abscessed tumor. Sometimes we'll see cancerous lumps that outgrow their own blood supply and they become infected in the middle. They can act like an abscess and partially respond to antibiotics. The ideal treatment here, is to surgically remove the lump and abscess. It can then be biopsied to see if there are cancerous cells in there. If so, they can then tell you what type of cancer and if it has the chance of recurrence.
If you are unable to have it removed, then I would continue the antibiotics as long as there is some discharge and swelling. The holistic treatments may not help, but they shouldn't hurt. If they seem to help, you can continue those as well. If possible, though, I would save up and get the surgery done to see what you're dealing with.
I hope this helps, let me know if you have any other questions.