YEAH BECAUSE LEAVING A TNAK EMPTY WILL HELP IT CYCLE
Oh wait, I don't type in all caps... and that is wrong....
No water change will help the tank cycle faster, but will kill your fish. It's kinda a catch-22. From what you have said kinda lets on that you fish that won't tolerate this.
Keep you nitrites as low as possible. 90% w/c is better than high nitrites. Agree on the drop test, they are far more accurate than strips. Plus the cost per test rate will be lower. Even at slightly elevated levels will cause gill burn and death.