1. Figure out which field of science you are interested in 2. Find a couple of universities that teach this field of science or you think have someone specialising in that on staff 3. Go through their list of researchers 4. Pick one out and send them an email. Or if you cannot find a mail address, send an old school letter to the university
How would you incentivise or why would any researcher want to help out in this endeavour from a seemingly stranger? How best to cover come this.?
As for whether or not they would want to help you out, it never hurts to try. Even if that particular researcher can't, he might be able to refer you to someone who can or depending on the scope of the research hook you up with a student in need of a thesis / project etc.
Academics often are in need of funding, if your idea has merit then I am sure you will he able to find someone that will research for you fairly quickly.