As I understand it, carbon, nitrogen, and phosphate are what's needed for the bacterial processes. Those processes will continue to get more intense until one of those become the limiting factor. You obviously can get too much bacteria, which would be seen as cloudy milky water, etc.
So if your nitrate is not going down, one of those other two have to be the limiting factor. Since you said you have detectable nitrate, and you also said you stopped dosing carbon it sounds like carbon could likely be the limiting factor now.
In my tank it's super high flow, there is no way cyano would be able to hold on to anything. So I am able to (and trying to) turn this process up pretty high as a way to keep my phosphate down. My experience in this so far has shown that for me I need to dose both carbon and nitrate in order to be able to consume phosphate at levels which they are being added into the tank.
If you want to lower your nitrate and phosphate, I would resume your carbon dosing, and deal with the other issues in ways that don't involve reducing your carbon. If you can't keep your carbon source higher, your going to need to use other methods for reducing your nitrate and phosphate (water changes, GFO, nitrate reactor, algae scrubber, etc).