is there any best site or park we can visit for stargazing, that is not Macdonald observatory I'm just trying to avoid the crowd and enjoy a peaceful night with some stars...

Skyline Drive in Davis Mtns SP has 360 degree view of night sky. Nature Conservancy Davis Mtns Preserve has open weekend March 13-15. Cabin Meadow would be good for viewing at the Preserve.

Marfa Lights viewing center is a short drive away also, but honestly, on a clear night in the Ft Davis/Marfa area you can star gaze from most anywhere.

Yes, stay in the state park and go up to the top of Skyline dr.