Do you have any local universities that are actively doing neuroscience or cognitive science research? If so, one possibility is to spend time on their websites, find professors who are doing interesting work, and volunteer to help out. Volunteering to help professors do research is a common path to get into grad school in extremely competitive fields. So, these professors may not be open to your help unless you're one of their students. However, if you write the right query to the right prof, who knows where it will go??

Since so much of this work is theoretical and done in Universities, unless you're just incredibly talented and lucky, you'll run into a wall without degrees.