I was just looking at these for our Outlook. Packed for an abbreviated holiday run this year and man was I disappointed in the cargo space if you want to keep part of the third row up. Missed my cavernous Odyssey minivan for sure.
I don't have any experience with them, but eTrailer has a couple [1] swing out enclosed hitch mount carriers. They're $500-$600, though. A flat carrier like rbarrios suggested plus a soft side carrier [2] would offer more flexability and be less than $175. Wouldn't swing out of the way, though.
[1] - Can't post links. Go to etrailer.com/dept-pg-Hitch_Cargo_Carrier-sf-Enclosed_Carrier.aspx
[2] - etrailer.com + /Hitch-Cargo-Carrier/Valley/V90180.html and etrailer.com + /p-59102.html for example.