That sounds like a software problem to me, not one that requires a hardware solution. There is nothing in what you describe that cannot be performed through bluetooth packets.

I am not sure which dongles make these corrections, but my experience with dongles is worse than bluetooth. Typically, a mouse is very close to the bluetooth antenna of a computer, and I have not really experienced any sort of connection issues due to missing packages etc. In contrast, I have had tons of issues with usb dongles due to usb interference.