marznc, I can't speak for other mountains, but at our hill, an intermediate will NOT be paired with a L1 instructor. It just doesn't happen. Call whatever mountain you'll be going to in advanced, talk to the SSD. It's their job to make sure you get quality instruction. Don't over think this. At some point, you have to trust someone to do their job.
Please note that I was not looking for recommendations for me personally. I've had enough experience with ski schools in the southeast and out west to know what to do for me or my daughter. Our experiences have been quite good.