You might be surprised how thoroughly border agents can conduct a search when the spirit moves them. And when they're done tearing everything apart, they don't, as a courtesy, replace things where they found them.
National parks don't have a monopoly on scenic beauty, at least not here in the US, and not all of us obsess about what you call the national parks thing. I find many spectacular places with varied terrains over which to fly near my home, some...
If there are still folks selling sight-seeing helicopter rides to tourists, they'd base their operations in Tusayan, south of the park, and fly over the park in Class E airspace like other light aircraft.
I've hiked the east side of Black Bear Pass, climbed adjacent Trico Peak (elev. 13,329) and, on the other side of US 550, climbed Ohio Peak (elev. 12,673). I've also hiked to Bullion King Lake in that area. Black Bear Pass isn't in a national...