What you are asking for is two, diametrically opposed concepts.
If you want "Eastern European kinda poor", then you need to go to Eastern Europe. (and it's dirt poor!)
If you want touristy, you go to a tourist center. If you want rural, then you'll be in a rural place.
Some places that don't have skyscrapers...well, pretty much all of Spain, except for...Madrid and Barcelona.
Some good smaller towns: Ronda...immediately jumps to mind! A favorite of mine. Girona, Carmona, Jerez de la Frontera, Anywhere in the Rioja region that has a dot on the map...you'll be in the center of the best wine country. Any number of places south of Toledo.
Stay away from the Costa del Sol and Mediterranean coasts.
So, you want somewhere that's 1) isolated, dirt-poor, & agricultural and yet 2) touristy? It's hard to have both. But if you want to try, I would recommend Cangas de Onis, which is located a couple of dozen miles inland in Asturias. Hike into the Picos de Europa mountains, and you can find some rustic cabin-like hostels for hikers. On the way up there, you can find people selling sheep cheese.
But the place is not dirt-poor. If you want that, try Extremadura or perhaps one of the remote Pyrenees valleys. Or better yet, visit Romania, site of a village so poor that it doubled for Borat's hometown, and they speak Romanian (which is kind of like Spanish).
I would suggest Galicia, especially anywhere on the Camino de Santiago. A lot of it is very rural but as pilgrims come through all year round they are used to having visitors. there are plenty of small towns or villages to choose from.
I want to stay away from the skyscrapers in the large cities to tall buildings I want to go somewhere over to rural and agricultural. I want it to be isolated and secluded from all civilization yet a tourist destination with a low population.
I want it to be touristy as well because we don't want to show up to some village and them stare at us and be like, "What the hell are these strangers doing here. People want to leave this dirty village and go to Madrid or America. And you dummys come here? To farming, dirt, dusty Hell?? Why?".
You see, my girlfriend and a group of our friends want to spent a couple months living in a rural village in Europe. But like a rural, like Eastern European rural kinda poor. We narrowed it to Greece, Italy, Albania, Moldova, Bosnia, and Spain.
And we chose Spain! Because we are a group of only Dominicans and Paraguays. And we figure Spain will be easier to communicate since we know such a rural place everyone will only have people speaking the native tongue. And we different accents so it will fun to hear a lot of Castillian too.
So any places you know of, well don't hold back now....do tell!!