Some people do do the accelerated protocol after they have the baby to increase their supply. You can continue to breastfeed while doing the protocol, but your supply will drop significantly and you shouldn't pump at all. After you finish the protocol (at least 30 days) you can start pumping to try to increase your supply.
I don't know if it will help or not, and I'm not sure what I would do if I was you. Some people never take any hormones and have a full supply with just the dom, it just may take more time.
How much milk do you think you are making a day? How big is your baby? I wonder if you could try a weekend where you don't supplement and just spend the weekend nursing all the time and see if that helps your supply. When I stopped supplementing, I was not making quite enough for the baby and it was a total leap of faith that I would increase to meet her needs. And I did and she was ebf from that point on. But that said, she was a very small baby to begin with and I wasn't supplementing 10-13 oz a day, only 3-4 maybe.
Good luck!
Jennifer