I guess this isn’t a recommendation as such, since after living and working for almost a year in Lima, I wouldn’t like to go back. For sure, I had a good contract, lived in the Miraflores bubble, but having had Peruvians daily trying to cheat me, lying to me, and trying to scam me, I’ll pass. Maybe you’d want to classify it as cholo rather than Inca culture, but it’s nasty.
If you want to live in Peru (and, certainly, it’s cheap and the food is good), maybe consider the very north around Tumbes. I haven’t been there myself but friends have, and say it’s very nice.
Or go further north, the coast of Ecuador is very nice, definitely not Inca culture (most people are black, just as on the coasts of Colombia and Venezuela). Ecuador is a bit off limits for the moment due to the narco trafficking, but I hope it will recover. Ecuadorean cuisine has to be one of the most underrated around, and there are unexpected variations, for example in Manabí. And if you make it that far, the Chocó area of Colombia is supposed to be spectacular.
Maybe a road trip can be a bucket-list item