For around the same cost of a good hanging type rack you can now get a tray style hitch rack like the Küat Transfer.
Especially if you have to use women's/step-thru frame adapters on the hanging rack which usually cost $35 to $40 each.
Carries 2 bikes without touching the frame and is expandable to 3 bikes with an add on carrier for $109.
Fits both 1-1/4 and 2 inch hitch sizes.
Includes free assembly and installation.
Manufacturer site: www.kuatracks.com/transfer