That would be boycotting the cable company, not the individual media conglomerate or channel. No matter the case of keeping cable or giving it up, THERE IS NO CONSUMER SOVEREIGNTY AND NO MARKET. I can not demonstrate that I don't want my money going towards certain programming while at the same time supporting certain programming.
You have as much soveriegnty as you need - you're free to accept the package or decline the package. Just because you don't like what's on the menu, that doesn't mean you don't have a choice. And it certainly doesn't mean that you should get to dictate how someone else provides a service to you by using the law to force them to provide it to you in the manner you desire - that's not a free market either.