That's a rough commute with a lot of narrow one lane roads in the mountains, almost no medical infrastructure, and the nearest school is in another city (edit: this is wrong - there is an outpost for the local comprehensive school in Patricia)
A lot of people seem to forget that Italy was for all intents and purposes a developing country until the late 1990s-early 2000s (unless you count Turkey, China, Malaysia, Serbia, Russia, and Thailand today as developed countries), and a lot of small towns and villages in Central and Southern Italy are still underinvested
Based on Google Street View, it looks like the kind of small town you'd see depopulated in interior Guangdong or Central Anatolia.
If Italy in the 1990s was a developed country, then a lot of countries treated as "developing" today are actually developed, hence why I gave the examples of Turkey, China, Malaysia, Serbia, Russia, and Thailand - countries that are "developing" yet have sustained developmental metrics comparable to Italy in the 1990-2005 time period.
Do a low effort bare minimum renovation for 50k and share it with some friends or family.
There has to be some really bad catch. Like no road or a 10 000 euro a year sewage fee or whatever. Maybe there is a litteral gatekeeper in the village that wont let you in through the gate if he does not like you.
There should be enough Romans (are people in Rome called that?) to fill up cheap mountain houses.