The other organization is ACRP. With SoCRA, you don't have to be a coordinator for two years to be certified - sufficient hours of research experience is all you need. I used some of my regulatory coordinator experience toward qualifying for the test when I was certified.
In my experience, you don't need any clinical experience to be a research coordinator. I was one for 4 years, and I am barely starting nursing school
Different companies will require different levels of experience based on the protocols that they conduct. In my area, there seems to be more funding for hospital studies or oncology, which require an RN license. Hence, my return to school...
You can also try to be a clinical research associate with a pharmaceutical company or clinical research organization, but that involves no patient care.