International student with non-profit startup idea

I am an international student(F1 visa) and I am working on an idea which will help generate funding for charitable organizations. I want to startup a non-profit organization which has the sole purpose generating funds for charitable organizations. My idea is unique and needs close to no investment. My question is, can I do this in my CPT/OPT? I am not concerned about H1 Visa/Greencard as of now. I just want to know if I can do this in CPT/OPT. Any advice/pointers will be really helpful.

Thanks in advance!