I did Boys State many, many, many moons ago. It is still a highlight and was an encouragement for my boys to attend If you choose to go to CAP at Laughlin instead, make sure you include in your essay how you were SELECTED from your peers to attend Boys State but chose to pursue your passion. The WCS score is important, but so is the CFA, interviews, academics, etc. If you're a strong candidate, CAP versus Boys State won't matter.
As a plug for Boys State, first, it's one of the last places in the world where you will just be around other boys, a truly unique experience. Secondly, there isn't a better course in civics out there. What you learn there will serve you for a lifetime.