However have you considered setting up Zwift and logging into an event in the day and just leaving it logged in until you want to run?
As there is no running draft there’s no advantage to running with others.
I do this. I tend to run straight after walking the dog so if the event is at 9am I’ll log in beforehand and sit in the pen. Your time won’t start until you move. So when I get back at half 9 or whatever I just jump on.