George,
I doubt you'll see the British Am on TV here anytime soon. There are only a handful of Americans who will play in it, and outside of this site, very few who would ever tune in to watch.
From a Mid-Am's perspective, what is even worse, is that as of this year, the R & A has cancelled the British Mid-Am from it's calendar of events. Apparently, from the UK side, there was not enough participation. It doesn't have nearly the same status that the USGA Mid-Am has. Very sad and quite surprising.
Back on topic...
Any event when Tiger is in contention...after that...
I enjoy the Player's Championship. It seems like the tour players really cherish this title, so consequently, I like watching when there seems to be more on line.
Hopefully, the Ryder Cup will become more competitive, because for me, it is great drama when it's close. The level of play can be extraordinarily good and bad, which is what makes it most interesting.