I could never trust a rack that had straps. I've driven to rides twice with a friend who has this type of rack for 2 bikes and I looked back so many times, my neck started hurting! My bike easily fits in the back of my station wagon with the rear seats folded. It also fit in the back of my small sedan, because the rear seats folded, too. However, it was a little harder to fit in, and I have a small bike.
I had a Saris Thelma rack on that car for awhile, until I broke the Acton car wash and they banned me from going there, until I took the rack off. I sold the rack, finally last year. My DH has a huge Saris platform rack with an extender for 4 bikes. We take that car when we are going somewhere together. I would look into getting a hitch that is just for a bike rack. It's worth the peace of mind.
2015 Trek Silque SSL
Specialized Oura
2011 Guru Praemio
Specialized Oura
2017 Specialized Ariel Sport