Different vehicles over here as they are generrally a lot smaller but I have an MPV. High roof and 5 seater with an extra 2 occasional in the trunk space. I regularly travel 100 miles with two bikes on the rear rack and two bikes inside. Even done a holiday involving 2,000 miles travelling with the rear seats folded down and 2 bikes inside and all the holiday luggage. And the return trip involved an extra 12 cartons of wine and plenty of beers for home use.
This is to show the type of car but being American- you will have something better.
Edit
Been looking for this but posted on 50+ by someone else. Not certain if we have an affluent member but this was his suggestion for transporting bikes
