GCA is controlled airspace with a small number of GA corridors where you can cross.
It is a fair distance from Las Vegas and can get seriously bumpy by midday so go early if your pax have not flown a lot.
There are plenty of threads on here about getting a FAA 'bolt-on' licence.
I've flown it a couple of times and have always either flown with a PPL mate, sharing the flying or years ago pre 911 when I was low hours with an instructor.
It is a challenging flight particularly as the skies will be heaving with tourist commercial traffic from Las Vegas or Henderson and the airwaves will be full of non-standard R/T.
Don't underestimate it, but if you feel you will be up to it and you prepare well (for example there are not many places to go if the fan stops: the altitude/heat will make your W & B calcs interesting) , then you will remember it for a long time.
For just one flight you might as well hire an a/c with instructor: a checkride would be pretty comprehensive and would prob. take a couple of hours anyway.
You will need a C172 0r an Archer at the very least.
If you have the time Page Az. and Marble Canyon are 'just up the road'
Cusco