You need to deal with elevated ammonia with water changes, even daily, and wait it out. Anything you do to "remove" the ammonia will likely hamper the cycle and lengthen the time the fish suffer. Ammonia is a very important nutrient for the bacteria you are trying to grow, so you need it in the tank, if that makes sense.
Once your bacteria have grown to adequate numbers the ammonia is still being released by the fish but the bacteria consume it so rapidly that you can't measure it anymore. The same thing happens with another type of bacteria to consume the nitrite until you can't measure it, then your tank is cycled.