Yes, as long as you do not disturb the wildlife. Here is the complete answer from their website https://www.redrockcanyonlv.org/frequently-asked-questions : Yes, visitors can fly drones for recreational purposes at Red Rock Canyon. Please do not disturb wildlife or visitors while flying your drone. Visitors are prohibited from launching and landing drones and other unmanned aircraft systems (UAS) in Red Rock Canyon's Wilderness Areas (La Madre Mountain Wilderness Area & Rainbow Mountain Wilderness Area). The Las Vegas Soaring Club also has flying space nearby. To find out more information, please visit www.lvsoaringclub.org
Probably, because this area is out in the sticks. Not much wild life visible most of the time to disturb. Beware of cyclists, however.
There was someone flying it the other day when I was there
If you properly follow FAA regulations, yes
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