Aldehuela de Periáñez is a micro-municipality of only a handful of residents, so almost every 'sight' is free: the Iglesia de San Juan Bautista, the stone-and-brick village core, and the surrounding cereal-steppe landscape can all be enjoyed without paying an entrance fee. The real budget decision is not what to do in the village but how cheaply you can get a car to its rural access roads, since scheduled bus service is sparse and the nearest rail station is in Soria city roughly 25 km away.
Travelers on a tight budget get the best value by treating Aldehuela as a half-day driving loop from Soria (or another Tier 1 base in the province like Almazán or El Burgo de Osma) rather than overnighting locally, because in-village lodging and restaurant options are minimal. Doing a self-catered picnic with provisions bought in Soria, filling up with cheap diesel before leaving the city, and combining the trip with other free rural hamlets in the Soria countryside will keep a daily spend well below the Castile and León average.