Apartents For Rent In Brazorua County . Choose from 94 apartments for rent in brazoria, texas by comparing verified ratings, reviews, photos, videos, and floor plans. View floor plans, photos, prices and find the perfect rental today. Brazoria Oaks Apartments Brazoria, TX from www.apartments.com 13 day (s) on har.com. 14003 n meadow arbor court, rosharon, tx 77583. On rentcafe, brazoria county, tx rents go as low as.