I have been planning to do the same type of investigation here in Turkey. I see this as a big data problem. You don't have to be a medical doctor to match gut flora to diseases. This is a database problem.
I contacted several microbiologist here in Turkey to ask their support but none replied. Academics and professionals do not like to talk to non-professionals.
Anyone who is interested in this subject and would like to discuss please contact me.
I consider this discovery of the microbiome and its role in the human body to be the greatest revolution in human history. And There is a lot we can do as citizen science projects.