Very brave! The Inca trail that is, but I'm told it's worth it. I've only done MP by train - but the first time I did it there were only 20 people on it - 19 Peruvians and me.
Lan business class is pretty good - although I've always avoided the overnight Miami-Lima flights. They're just too short for my liking. I prefer to arrive in Lima from late afternoon onwards.
I'm a bit jealous now

- enjoy your trip