I need to add an interior wall in the basement which runs parallel to the ceiling studs (as shown in the picture). I can't directly attach the drywall frame to the studs. I think I have two options:

1. Directly attach the frame to the ceiling drywall. This is weak, but for a non-loading-bearing wall, this might be ok.
2. Open up the ceiling drywall, install short studs perpendicular to the ceiling studs and then attach the drywall frame. This is more stable but more work.

I'm new to this. Which option do you recommend? The wall is about 8-9' tall and sits on concrete.