This is very similar to what I'm doing. I have a BSEE and currently transitioning to a research career in computational neuroscience. Some books I'd recommend checking out are Brain-Computer Interfacing and Theoretical Neuroscience.
You don't have to necessarily buy them or read them, but perusing the table of contents and searching for courses that used either of the textbooks can give you more clarity about some of the crossovers between EE and neuroscience that can at least the bridge the gap, even if not your final destination.