It's a damn site easier to either use a SAFE contraption of choice to prop the tank up, or even better still, get some poor sod to hold it up for a couple of minutes.
If you're doing a full on clean up with Radflush, then i would recommend leaving it in for a day or two to let the system heat up and cool down a few times, then flush it all out with a hose and refill with decent coolant, or just go out for a 20+ mile ride. I've never been keen on just letting the bike tick over waiting for the fan to kick in whilst pissing the neighbours off with the exhaust noise.
This should only be done in conditions that are not too warm or cold, as you don't want freezing or boiling water to happen.
In fact, conditions right now are probably perfect during the day, but obviously don't go ripping the shit out of the bike, just go easy on it until it's all sorted and the coolant has been replaced.