If you start to drain the drum so that the last drop is out at the time signal, that's fine to. Just do it the same way each and every time you process a print. When the fixer is done you can open the tank and start to wash the print. Because Ilfochrome is on a plastic base the paper retains very little chemistry and washing needn't take long. A couple of minutes in an open tray or several changes of water in the drum is all it needs.
Air drying also happens swiftly and the paper has almost no curl at all when dry.
Clean up is simple. Make sure that your chemical bottles are well stoppered, rinse the drum and set it out to dry. To make multiple prints in a session, either have an extra drum or two or you can use a hair dryer to speed drying of the inside of the drum. Wet prints appear somewhat magenta so don't do a final judgment of color balance until the print is dry. But, even when wet you'll be able to judge how close you've come on exposure and balance.