Hey mate,
I'm planning on doing a similar thing with my wife next year for 9 months or so. Travel, paraglide, surf and kite. I am flying into Santiago taking my paraglider to Iquique and flying for a month or so. Will leave it there (they offer free storage), then head in to Bolivia and then Southern Peru for just travel. I plan to buy a cheap surfboard in Lima, and make my way up the Coast surfing Chicama and other spots. I will look to buy/rent a Kite in Mancora and kite for maybe a week or so. Only use a surfboard, so will only need to rent/but the kite and harness. I have found a few rental places in Mancora, just google it.
www.kitesmancora.com/ is one. Mancora is only an hour from Lobitos which also apparently has wicked kiting.
So yeah, the long and the short of it, I have researched my ass off and the only place I plan to make the effort for kiting is Peru. But I am only into waves, if you are freestyle then Brazil looks freakin' awesome!
Just my two cents