me and my family would like to travel from Beijing to Jiuzhaigou in early November.

1. Is there a direct flight from BJ? The flight from Chengdu to Jiuzhaigou is more expensive than BJ-Chengdu, which doesn't make sense to fly.
2. What's the best option if I take a chartered car from Chengdu and how much does it cost? Will it be hard to get a chartered car from Jiuzhaiguo to Chengdu.