I doubt many authentic Asian restaurants have their TVs tuned to American football, and if they do, the sound will probably be off or barely loud enough to hear the commentary. The Chinese noodle and Korean tofu restaurants might be more accommodating with the sound, but I'm not sure if a spicy beef noodle soup or spicy Korean tofu soup is what you're looking for.
I'm going to admit: I haven't been to many Asian restaurants outside of a casino in Las Vegas. However, I've been to the Chengdu Taste in Monterey Park and Rowland Heights, and they are both good. By proxy, the Chengdu Taste should be good as well, and it has pretty favorable reviews from what I've seen. I also see from Yelp pictures that it does have a TV, so maybe if you ask kindly enough, they'll let you see American football instead of Chinese variety shows.
I looked through Yelp pictures, and Yunnan Restaurant and Khun Chai Thai seem to have pretty good and authentic food. They also have TVs that may or may not be able to be switched to American football. I'm sure you could try calling them ahead of time to ask if they would be accommodating to your request.
Sorry I can't be of much help.