I would like to propose that the reason for quantum randomness has to do with the change in kinetic (or other) energy of all matter on earth. As the universe expands, the distance of any given object to the center of the universe's mass will have changed, and so will the velocity, as well as the direction of motion. These slight changes, among many other unnoticeable changes could surely account for the necessary "hidden information" that make for "quantum randomness". When I think of people slamming particles together at near the speed of light, the first question that comes to mind is, "How could we possibly predict or measure the velocity accurately enough to be sure we're doing exactly the same thing every time?". The next is, "What about the changes in the minute effects (gravitational, EMR, etc.) of distant objects in our solar system, galaxy, and the universe?".

Does anyone remember when CERN announced they observed faster than light neutrinos, and then that they didn't. There are some things we will never understand, and passing them up for a quicker route to closure will not change anything. Lest we lose interest and hope in intuition as well as armchair philosophy, we shouldn't become obsessed with empiricism.