What if quantum uncertainty isn't a result of our inability to measure a state but instead is the result of the influence of all other 'things' on what we are measuring. We are assuming that the state is unknowable because once we measure it, we change it. What if the state is unknowable because the rest of the universe is influencing the thing we are measuring. We can't 'measure' it because it is constantly being changed by the universe around it.
Of course, our measurements will affect it, but so will the influence from any other source.
This would mean that we aren't dealing with true randomness, but instead, we are dealing with sources that are, at this point, unknowable, but could be knowable once we figure them out. It would allow us to predict accurately the state of a quanta without actually measuring it and, as such, not change it.
Taa daa.