It would be nice if "do good science and science communicators will do the communicating for you," were true, but I guess you do need to do "scicom" intentionally.
I think Complexly's SciShow represents some of the best in video-based scicom, and they cover neuro often. Maybe it's reasonable to build scicom partnership into a research plan? But probably the grant funds can't be used for it, so I don't know how it would fit into the existing system.