My trip to the Grand Canyon lasted about 4 hours in 1989, so I don't have a lot of direct experience.
A UV filter will not be necessary for photos with digital, but might protect tbe lens. You might want a polarizer filter instead, which will deepen blue skies and increase contrast.
A super wide angle would be great, like the Sigma 10-20mm zoom. You can substitute for this by taking a series of photos and stitching them together in the computer. This works best on a tripod with the camera settings locked in manual. Use multiple rows to make the photo easier to print.
By the way, combining the suggestions might produce weird effects. Polarizers at really wide angles can have a strange sky which has a polarizer effect in the center but not at the edges.
Practice with your camera and techniques will probably help just as much as buying new stuff.
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