Major change of plan/route

During some random web surfing, I came across a great airfare from Lima to Miami. After much deliberation, we decided on a loop from Lima, going down the west coast of Chile to South Patagonia (Chile and Argentina), coming back northeast to Buenos Aires, crossing through the northwest of Argentina into Bolivia, then north through Bolivia back into Peru. This way we are hitting each area in more favorable seasons. My only concern is that good hotel rooms may be hard to come by. We should see.