You need the ammonia to feed the bacteria, but you also want the nitrites to come down, and then disappear, in favour of nitrates instead. I think you've got too much ammonia at this point.
Normally, once you start to see nitrites, the level rises for awhile, then slowly begins to come down, and then you should start seeing some nitrates.
So test in the morning and at night. Keep notes of the levels of ammonia, nitrite and nitrates.
Right now, you have sky high ammonia. But you also have sky high nitrites, so you have BB converting ammonia to nitrite, so you know you've got lots of those ammonia converting guys.
You also have nitrates, around 20 ppm,, which is where you want them, so you also have BB converting nitrite to nitrate and plenty of them too. Great. But given the levels of ammonia and nitrite that are still present, I think you are adding far too much ammonia at this point.
I would test each morning and evening. If there is ammonia, nitrite and nitrate, don't dose any more ammonia. Next test, if ammonia and nitrite begin to come down, great, that is what you want to see. If they come down dramatically, say they are near zero, then you can add a small amount of ammonia. You want just enough to last to the next test time.
Next morning, test again. If the levels don't come down too much, don't dose until they do. But if all the ammonia disappears and all the nitrite disappears, then add enough ammonia to last 'til the next test. Might be a bit of trial and error to get the right amount. Test that night, and adjust the ammonia dose if need be. I would hope those levels drop quite fast, given you obviously have healthy BB working away for you.
Ideally, in a very short time you'll have ammonia and nitrite at zero when you test, nitrate around 20 ppm or so. Then keep adding only enough ammonia to last for 12 or perhaps 24 hours, and go get some fish.
Add fish slowly, just a few at a time, the bacteria need to adjust both to a new ammonia source and also to the amount produced by the fish. Each time you add fish, it takes the filter BB some time to grow more to handle the load. So slow and easy with fish is the safe way to go.
My sincere appreciation that you are doing this without fish. My congrats on doing it the kind way.