I have a Kuat NV Hitch rack and never had an issue with the bikes bouncing around or the rack shaking. I would take look at the tray style rack, that hold the bikes by the wheels.
The Latch It Rack is supring solid for biking hauling, we have gotten 4 bikes on it. They do bounce around little...
I have always been a fan of hitch mounted racks but a buddy has a latchit rack for his truck. Sounds like what you are looking for, it works pretty well. Here is the link: Latchit Rack