I'm using the exact same set up (7D also gripped) and it fits perfectly in the base of a lowepro fastpack 250, with plenty of space either side for filters, batteries and a couple of smaller lenses.
I tend to shoot with a monopod for stills or a tripod, fig rig or monopod for video, so I usually have whatever plate is required on the lens tripod ring.
If I'm walking about shooting I'll keep the camera on my monopod at the lowest extension and with the safety catch double checked and carry it on my monopod, either by my side or over my shoulder.