If you want to wait till the end of Oct., I'll be there with my GF for the Toyota nationals. Plus Halloween.you don't need a
Grand Canyon, Get your rental and blast off for the canyon.
Stay the night oat the hotels on Rout 66. See the canyon in the morning, the drive back to LV.
See the hoover dam, take the tour.
LV is enough to see all by its self.
I'm getting there two days early to blast off to LA for an over night trip.
Unless you want to go way off the strip (like GC or HD), or are handicapped, you don't really need a rental.
(My GF gets Toyota hospitality suite tickets)
I stayed at the Luxor 2013, basic hotel and Excalibur 2014, basic hotel.
$100 per night plus $20 per night resort fee.
Without a rental you WILL do a lot of walking. (with a rental you will walk a lot too)
PM me for any thing else you want to know.
Theres lots more to know.
PM for ways to save a buck, because its Vegas, and Vegas prices.