I don't know. There is multiple possibilities here. Maybe Appenzell Innerrhoden where you're at a low degree cousin of one of the members of the council at the head of the Canton. AI has just 16k inhabitants.
But if you ask a French speaker, it will be Jura. It remember me once I went there. I saw a young woman not older than 25. She was definitely not rich. She already had 3 pregnancies and was outside in a cold foggy morning with the 3 kids walking around the small town. The region has the reputation of alcoholism too.