I was just in Mexico for the past two weeks for the first time in over two years, and I noticed the "American Network" was absent.
The only English channel I found on cable, at least where I was, was CNN International. However there is no shortage of channels with English programming, subtitled in Spanish. I also noticed one sports channel carrying Canadian Football.
Aside from that I am not aware of any Mexico-based English TV channels, other than a couple local stations licensed in Mexico that also target American audiences.