I recently carried my Schwinn, which has Zefal fenders, from NH to VA and back, using an old Yakima fork mount carrier on the roof. Fit and security were trouble-free. The fenders were not harmed at all. Lower gas mileage and noise were the down side. Having said that, my setup was dictated by the fact that I have a Toyota Sienna with roof rails, no tow hitch receiver, and lots of old Yakima stuff.

My ideal rack would be a receiver-mount, tray-style carrier; one that you set the bikes on by their wheels. Those look easiest to use and most adaptable. I also have a Thule Helium hitch-mount rack on my VW and it is very tricky with odd frame sizes like the women's bike you posted. The pros of carrying the bikes behind the car are: No bug splatter; lower lift height when loading bikes; better gas mileage; bikes are easier to see/check on; no low clearance/drive-through/garage accidents.