Apartments Or Houses For Rent Mission Tx . 4405 s shary rd, mission, tx 78572. It neighbors mcallen and la joya and lies along the mexican border. 2510 W Expy 83, Mission, TX 78572 House for Rent in Mission, TX from www.apartments.com Explore rentals by neighborhoods, schools, local guides and more on trulia! Apartment for rent • available may 1. San pedro apartments at sharyland plantation.