I think you'd have to spend above $160 for phones that can shoot video in more advanced modes. The Redmi 7 (SD632) can record 1080p video at 30 and 60 FPS while the Redmi Note 7 (SD660) can record 1080p video at 30, 60 and 120 FPS.
I don't know about Android Auto as my car deck does not support that. As for GPS navigation, I experienced serious issues early on when I started using Google Maps and Waze on my Redmi Note 5. Those apps would randomly freeze and close for no apparent reason (sometimes causing my phone to restart) and it was incredibly frustrating to deal with while driving. I was concerned that my phone might even be defective but after performing extensive troubleshooting with clean installs of different ROMs, I realized that an anti-theft app called Cerberus was responsible for the problematic GPS behavior. I uninstalled Cerberus and have not had any GPS navigation issues since then on my Redmi Note 5.