The $25K includes food, travel, and medical care. I doubt there will be any trips to Killington.
I sort of find the idea of living off 75k to understand "gritty reality," preposterous and moderately offensive. It's like giving up Dom Perignon for Veuve Clicquot in order to understand poverty.
The $13K that you calculate includes this travel plus everything else. I don't think that I will be taking any trips to Killington when my discretionary income is significantly below $1K/month. And, if I do, it will only be because I've given something else up, like buying books, for an extended period of time.