Furnished Apartments In Angleton Tx For Rent . Angleton single family homes for sale; Select any of the 1 rental units in angleton to see photos, reviews, floor plans, school and neighborhood information, and use our handy rent calculator. Furnished Apartments RentSFNow from www.rentsfnow.com 201 hackberry st, clute, tx 77531. We found 21 apartments for rent in angleton, tx. 13 apartments rental listings are currently available.