I know this isn’t what you are looking for but wanted to make sure you know about it:
Somfy makes a tilt motor that can be self-installed in 2" blinds. It uses batteries (both AA or rechargeable)and is made by a good quality manufacturer. It works in power outages. We have had a bunch installed for almost a year and have not changed batteries or needed to changed them yet. If I wanted local control I would mount a remote at the window and it comes with a mount to do just that.
These are a tilt motor only. Opening the blinds as in up or down is still done manually with the pull string.
haha well that makes sense. Good luck on your product hunt!