On top of what Fuji Says I would add that be careful flying in mountainous regions where you can easily get downdraughts which will exceed the climb ability of a light single.
Beware of landing at high altitude airports without the experience of doing so numerous times.
The first time you attempt such a flight do so with someone who is IR rated and experienced in mountain flying.
Much better to do what others have suggested which is to get a scheduled flight there and rent some time on a ski plane with an experienced instructor!
Maybe even consider a french mountain flying rating?
Pace