Adding a high profile school like Gonzaga makes a ton of sense for the BE, if they want to up their profile. Getting an improved TV deal out of it is likely part of that goal.
Logistically, it would be difficult, mostly for Gonzaga. They'd likely have to fly east 4-5 times to play some Th/Sat or Sat/Mon games. Games in Omaha, Milwaukee, Chicago won't be that difficult since they already fly to SoCal for games - it's adding 15-45 minutes to those locales. But money talks, so this could be beneficial for all parties, assuming Gonzaga cares about their non-bball sports and can find a solution.
Wonder if the BE would ever go after Notre Dame? They can align their football with the B10 if they break from the ACC, and probably fit a lot better for all their other sports in the BE.