Las Vegas to Hoover Dam Bike Routes ??

Hi guys,
i would be in Las Vegas during this weekend and plan to do some road
rides there - i need some routes - i did visit
http://www.lasvegascentury.org/maps.php and got some good routes to Red
Canyon and Lake Mead.

I am looking at riding to Hoover Dam and back and I see Hwy 93 goes all
the way till hoover dam. Is it safe to ride on Hwy 93 ? any alternatives
are most welcome - i can survive some degree of climbs if any.

thanks,
+ravi