My wife and I are contemplating a hitchhiking trip to Peru, ideally involving some hiking, in late December/early January. We do not like to plan everything in advance, so we are looking to sleep either in our tent, or in whatever accommodation we can find on the spot in whatever cities we traverse.
We would like to spend most of the time in the Sierra. We would especially like to see Machu Picchu (or maybe some other, less touristic Inca ruins) and lake Titicaca; so a tentative itinerary would be something like Lima -> Cusco -> Juliaca -> La Paz.
Looking at the climate charts, the amount of rain (and lack of warmth) seems a little scary. For example here in Cusco for December: 20.8°C max/6.5°C min, 120mm precipitation, 16 rainy days per month. But in would be nice to have some subjective impressions, as raw numbers can be deceptive.
Has anyone done a similar trip in that season? Do you think it would be one of those miserable "all-of-your-belongings-are-drenched-and-there-is-no-chance-to-get-them-dry-because-it-just-keeps-raining-and-raining" trips, or is there still enough sunshine to make it enjoyable? I have seen that a lot of people still do the Inca trail in the rainy season. Surely it must not be that bad?
Also, what are the chances of finding a hostel or cheap hostel on the spot when arriving to a new city?