In 3 days, you might not be able to see the WHOLE west, so I'd think of which region you want to see the most. I see three choices from Las Vegas: west toward Death Valley and around Southern California, then go north around the west side of the Sierra Nevada mountains, up toward (and into) Yosemite Valley and continue north up Hwy 49 through "gold country" toward Lake Tahoe. Second option is to try for the coast and just go north as far as you can.
With your time constraints, that last one might be too much. For SoCal, you'd have to hear from some of the locals down that way; they know the good roads. But I'm suggesting a third option, as proud as I am of California motorcycling (you could even try lane splitting out here). Option three doesn't have much to do with California at all. Think about heading toward the Hoover Dam, ride over it into AZ and head for Utah! The National Parks there are amazing, and all strung out pretty much west to east starting with Zion, Bryce Canyon, Capital Reef and more, all just a few hours apart with amazing scenery the whole way. And VERY different from anything you'll find in Georgia! A side trip would head you down to the North Rim of the Grand Canyon, MUCH more scenic and much prettier surroundings than the roads leading to the South Rim. It's 1,000 feet higher on the north side too--so cooler. There's just too much to see all over that part of the country, and really dramatic. Tough choices, but everybody should have problems like that.