Ask HN: How do I legally run a startup in US while on an F1 or H1B visa?

I am working on a startup idea and have received an interview call from an accelerator and very likely to get in. The problem is that I am currently working on F1 (opt ext) and will file for H1B this April. My visa statuses do not allow me to dedicatedly run a startup. Is there any separate visa I could file or any other way I could do this? Suggestions will be greatly appreciated