It's a game I play every time I see pics from places I've been to try to guess where they were taken. In this case I'm fairly certain that I know.
The aches are in Doran Cyn (note that maps show Odessa merging with Doran, not the other way around). The steep decents are on the road that goes over to Mule via the old "Doran Scenic Drive" road from Cyn Phillips past Kramer Arch & Boy Scout Camp (that cove right around the corner east of the arch).
The Doran arches are famous and I took my last GF up that steep section as her first time off road. Right about that last pic's point you really don't need a seatbelt......