Aircraft performance shouldn't be an issue, the runways will be long enough for you at Grand Canyon and Vegas and in fact everywhere else for that matter. the 180 Archer is more than adequate since it will be relatively cool. (providing there are no fatties on board) ATC will most likely vector you over the Hoover Dam from Las Vegas McCarran or North Las Vegas whichever you decide to rest the aircraft overnight. Signature at McCarran do charge for an overnight tie down and charge loads for fuel although they do discount the tie down if you buy fuel.
The approach into Vegas at night is absolutely superb!
I have never known any problems with engines or airframes with ADP aircraft but what are avionics?
I know they have plenty of INOP's, they are all clearly labelled!