In my opinion, if you don't get a good hard cycle going you'll be dinkering around in there forever. If you keep changing the water you will also prolong things. If your tank can't handle one table shrimp in there it wont be able to handle the addition of a fish.
Wait now, do you already have a fish in there?
Yes, our tanks are always shifting but I wouldn't say they are always cycling in the true sense of the word. I never have
ammonia in any of mine.
What is your water source? It's not conditioned tap is it?