Yes you can....
....my understanding is that for investing in any business anywhere in the world one doesn't need any visa. Immigration & investment are altogether eparate issues. And you are right, you cannot work for the company you invest in unless approved by BCIS, which in your case is probably a second H1B from your own company.
Titu.
PS: I'm just another forum user like you. Please take qualified legal opinion on the matter before you take any action.