I can't remember ever seeing or hearing about a body shop that has a rigid schedule in the 45 plus years I've been in this hobby. You need to talk to Car guys in your area and see who everyone else is using.
Depending on how extensive the work you want done is, try your local Community Colleges that offer an Autobody course. They may take your car as an instructional piece to train new apprentices. I've seen some great work come from these Colleges as the instructors are usually quite proficient.
Cheers!!