Pat Kirwan wrote a fascinating book about watching football called Take your eye off the ball. In it, he describes how to watch football better by not watching the football. In short, his advice was to watch football differently than how it is being broadcast.
Although his book has great ideas, I will not be leaning on his work here.
Once the Browns fan accepts they will not see everything in the traditional broadcast angle, there is one reality left. The fan must actively choose what parts of the game they want to see.
The choice is a fundamental one. Does the fan passively accept that he or she must watch the ball? Or will he or she take charge of the viewing experience by deciding what parts of the broadcast to watch?
The assumption is that you are taking charge of your viewing experience, otherwise you would have quit reading long ago.
Instead of watching the ball, the fans should tailor their viewing experience to what they want to see. Browns fans want to watch the Browns. If this is true, make the commitment to watch the Browns on offense and on defense. Each side of the ball requires a different way to watch.