Agreed, I've found that using media from another filter speeds things up, but rarely instant cycles.
I'd do water changes and use a detox product like Prime, Ammolock, Amquel+ or similar. Worry more about the fish health than the cycle and do the detoxing because the cycling will still happen just fine IME. Some fish are more tolerant of ammonia/nitrite levels than others, but all have their limits.
Also agree you should feed lightly once per day until you get past this. Wait until ammonia and nitrite levels have been 0 for a few days before adding more fish.