I know you don't want to be carting a tripod around with you, but I'd suggest that one night you take yourself west along the highway (towards Los Angeles). There's a point, a few miles out, where you can see Las Vegas in all its glory.
I believe there's a camera shop in the old section where you can hire a tripod (near the Golden Nugget if I remember correctly) if you don't want to take your own.
The Golden Nugget itself is pretty spectacular at night, well worth spending some time outside there and the surrounding buildings.
The Grand Canyon is spectacular, but everyone seems to take their pictures from the same place (where the tour buses and aircraft park). I'd strongly advise you to go down into the Canyon itself on an organised trip (on a donkey no less!). Be aware it does get very hot down there, even in November.
The Hoover dam is quite impressive, but there are lots (and lots) of power lines all around, which rather spoils the view (yes I know that's why it was built

). If you go across the dam, and up over the hill there is some marvellous swathes of desert... with cacti just like in the Westerns!
I'd say a polarising filter is a must, as is a lens hood.
Have a great time!