IMO Woody's is better for the beef BBQ, Porky's for, er, pork.
Another take out only alternative for good BBQ is Bad 2 Da Bone on Century Blvd. just west of Hawthorne Blvd.
There's a lot of fast food in the new development along Century just east of Hollywood Park.
Lucky for the OP there are menus or websites available for All locations mentioned so far, just click on the Place link for more info.
Bad 2 Da Bone
4565 W Century Blvd, Inglewood, CA 90304
Pann's Restaurant & Coffee Shop
6710 La Tijera Blvd, Los Angeles, CA 90045
475 S Market St, Inglewood, CA 90301
The problem I had with Woody's was the beef I got was fairly low grade and full of gristle. I do like Porky's but I've only had some pork dishes. A person I work with told me near the Forum is a place called Bourbon Street and she recommends their gumbo. Haven't had a chance to try it, but just throwing it out there. My problem with Pann is the quality range of their dishes varies wildly. Don't get their fish and chips under any circumstances. You have been warned.
Porky's is my current favorite BBQ in SoCal. Amazing pulled pork -- the sandwich is huge and served with unadvertised dirty rice and grilled pineapple. Others have commented favorably on the ribs and brisket, and they serve tasty, crispy Golden Bird chicken. Also a large, very clean seating area for eating in, lots of parking, and even a drive-thru. Going to an event at the Forum is a great excuse for a pig-out at Porky's -- enjoy, and what's playing?