If am am understanding your situation correctly, there is no need for a Q Tank.
Here is what I think you are saying. You have a tank that was established and working fine for higher pH, harder water African cichlids and you decided to convert it to a softer water tank for different fish. If you have removed 100% of the old fish, you do not need to quarantine the need fish that will all go in at the same time. Your main tank is Q tank when it is being stocked initially. What would you be doing setting up a separate Q tank? You would buy the fish and put them all in and watch them. If they were sick, you would treat the whole Q tank. This is not different that what would happen using a clean main tank.
Q is designed to protect existing fish and new fish from the potential to trade pathogens. It make sense when getting a new fish not to put it directly into a tank already established and contained healthy fish. If the new fish is sick, it can potentially wipe out the established tank. If the new fish is stressed or weakened, things in the main tank it would normally resist it may not be able to. Putting it into Q gives it a chance to build strength as well as be observed for any problems itself.
But with a new empty tank, the new fish can not harm the non-existent old fish. A brand new cycled tank acts as its own Q for the first addition of fish.