The most important thing is you are from HYP no matter what majo

My opinion: No matter what you want to major in, including CS, graduating from HYP is more important than anything else.  You wouldn't have much advantages at all if you graduate from Stanford, MIT. CalTech or CMU CS.  If you are interested in music, then HY will have advantage.  CS from top 20 wouldn't make much difference needless to say many students will double major in CS and someting else.