Most T20s (Brown, Duke, Vanderbilt etc.) will allow you to create your own major (the requirements and processes differ) if the major you are interested in is not available. These schools will usually allow you to double, or even triple major if interested, though you’ll likely have to complete the requirements for each major independently with likely some overlap between Psychology and Neuroscience.)
Brown has a Cognitive Neuroscience concentration (major) that you might be interested in, as it’s description indicates it’s an “integrative area of study drawing primarily from cognitive science, psychology, neuroscience, and linguistics.” Brown has a Philosophy concentration as well, and the freedom of the Open Curriculum makes it extremely easy to double concentrate—~20% of undergraduates do!
Brown’s Cognitive Neuroscience concentration: https://bulletin.brown.edu/the-college/concentrations/cogn/
Brown’s Philosophy concentration: https://bulletin.brown.edu/the-college/concentrations/phil/
Hope that helps! Good luck with admissions!