L.A.
I am going to guess there are going to be a ton of parents who will be signing up to drive.. I bet many of these parents have multiple children and are used to driving multiple children.
The trust of the other parent is totally up to you. If you are really worried, then yes, take off part of the day and drive, but I am going to guess, they are all parents just like you and at some point you will be the parent they will be giving the hairy eye ball to.