Carrying a T2i down Grand Canyon and return in one day?

Plan to hike down Grand Canyon (via Angel trail) and return in one day. It is a 12 miles round trip, 3000 ft hike. A hydration pack will be on my back. So the camera got to be strapped in-front.

The lens is a 17-50/2.8 Sigma, it's huge. I am a little weary with this rig. I am a 50 yr old, 130lbs, 5"4. It will be October, so not too hot.

I know I will have to put up with its size and weight around my neck. I am contemplating on carrying the Canon ELPH instead.

Any GC hikers, what do you think? Put up or let up?