They also make it simple, if not necessarily easy, to use your collections in other places, either through Newman, API access, or direct export. I know Blazemeter, for example, allows you to build load tests from Postman collections, and it's relatively trivial to have Newman running as part of your CI.
So having worked in this space for the past two decades, and quite recently felt a lot of those same pain points, I'm skeptical of any solution that doesn't either challenge Postman head-on, or build around it.
Without significant financial backing, it will be very difficult to get traction otherwise. That said, I'll certainly take a look at your project, should you share it.