I have an undergraduate degree in engineering, a PhD in physics and some post-graduate education in philosophy, and have worked closely with philosophers on real problems in epistemology and metaphysics, mostly around identity theory.
On the basis of that experience, I would recommend focusing on a traditional CS or EECS degree, and take philosophy on the side.
By taking a traditional degree you will provide yourself with a deep, broad foundation from which to evaluate various philosophical mutterings, and will be well-positioned to realize just how imbecilic most of them are.
There is a mathematician's joke that be successful in math you need a pencil, a paper, and a garbage can, while to be successful in philosophy you only need a pencil and paper (philosophers publish their mistakes, and sometimes build careers on them.)
Philosophy does have uses. It encourages a certain kind of rigour in thinking, but the content of the subject is mostly philosopher's imaginations, and three hundred years of science has taught us that the human imagination is almost completely useless for understanding reality. What we can or cannot imagine is utterly unrelated to what actually is.
AJ Ayer, for example, could not imagine the kind of empirical test of metaphysical propositions that Bell showed we could actually perform. A willful ignorance of the poverty of imagination as a tool for understanding reality was the basis for the entire Positivist program, which was, unsurprisingly, a failure.
So stick with the core subject and extend your reach to philosophy. You'll be far better served that way, and when you do philosophize it will have a far higher chance of being insightful and useful rather than obvious nonsense to anyone actually in the field you are philosophizing about.