The Chaco area of Paraguay is very large - it's 60% of the land area of Paraguay but home to only 10% of the population. The Chaco area is one of the most sparsely populated in South America. Towns are small, and few and far between.
It's not likely that there is a large rental market anywhere in the Chaco area. Do you have a specific town in the Chaco region in mind?
If you mean the Chaco-I area (also written as Chaco-i, Chacoí) in the departamento Presidente Hayes, across the Paraguay river from Asunción, the capital and largest city of Paraguay, here you can find some apartment rentals:
https://www.locanto.com.py/geo/1212538/ … -Asuncion/