Here are some potential pros and cons of buying property in the village of Black River, New York:

Pros:
- Proximity to Fort Drum: Black River is located near Fort Drum, which is a significant military base in the area. This could be appealing for people working at the base or who have ties to the military.
- Rural feel: Black River is a small village in a rural area, which could be attractive to people looking to live in a quieter, more rural environment.
- Lower cost of living: Compared to some larger cities in the region, the cost of living in Black River could be lower overall.

Cons:
- Limited amenities: As a small village, Black River may have limited options for shopping, dining, and entertainment. Residents may need to travel to nearby cities for these amenities.
- Harsh weather: The region experiences cold, snowy winters and occasional severe weather events, which could be a downside for some people.
- Limited diversity: The area may not be particularly diverse in terms of ethnic or cultural makeup.

Of course, these are general pros and cons, and whether or not Black River is a good fit for someone looking to buy property would depend on their specific needs, preferences, and circumstances.