OR roll a tank with your first char. if people don't like it... let them have fun finding someone to replace you
I used to do that with my tank before I unsubbed. I like the story even if I've run the flashpoint a hundred times. It also gives me a few minutes to take a break from trying to keep DPS from pulling when everyone is at half health and the healer is out of resources, etc.
It was always heartwarming to let the impatient know their options were:
a) watch the cut scene for a minute and pick up some social points
b) drop and go back to the queue for a half hour