I believe there are four stores in the area that serve Filipino food:
Cebuana (2400 E Oltorf, #12-A)
Gammad (2309 W Parmer Ln)
Mang Dedoy (8863 Anderson Mill Rd)
Oriental Grocery and Bakery (707 E Braker #105)
My favorite is Oriental Grocery, although I haven't tried Cebuana.
They have a small lunch buffet from which you can get your fill for about $7.
Look for dishes like pinakbet (bitter melon, eggplant, pumpkin stew) and mongo guisado (stewed mung beans w/shrimp) when they're available.