What you are advocating is that the wave-function would be a compressed object for storing efficiently, in a computer, the state of systems, and that the dynamic of the universe would apply to these compressed objects, which would explain the puzzling features of QM.
This is a thoughtful idea, however I think there are strong objections against it in the final analysis.
First it should be noted that we are not merely assigning classical probabilities to quantum particle positions, but complex numbers (and in composite systems, not only to individual positions, but to possible configurations of the whole system). Probabilities are calculated from the complex coefficient. That explains the interference pattern (different "possibilities" are "interacting" because of the way complex numbers add up) but if probabilities were assigned directly to the system, QM would loose most of its puzzling features.
This point is not fatal for your metaphysics. Perhaps having complex coefficients assigned to possible configurations is an efficient way to compress a system state. But as noted by Jobemark in his answer, the wave-function would not be a particularly efficient way to store a state, to the contrary: the wave-function of the universe assigns a coefficient to any possible configuration of the universe, whereas a classical universe would have only one configuration, which is much more simple.
Then there are all the objections to the idea that we live in a computer simulation (which is just a modern variant of traditional scepticism). What kind of universe does this computer live in? A classical universe? If so, we are simulating a quantum world in a classical world, which is strongly inefficient (exponential calculation time). So it might be a quantum universe instead, but then the difference between being in a simulation, or being a part of that universe, is slim... Or maybe it is a third type of physics, but without spelling out what physics exactly, the proposal seems hard to evaluate and not very informative.
Finally, the main problem to solve in QM is not really that wave-function describe systems rather than individual states. It is the problem of the correspondence between the model and empirical measurement.
Transposed to your metaphysical theory, the problem is: when does the "collapse" occur?
As your metaphysics does not really answer the question, it does not solve the measurement problem per se, and you have to fall back on a standard solution to complete your theory (either spontaneous collapse, or maybe in your case some form of dualism, with consciousness provoking the collapse? However these theories have other problems of their own...).
So in my view the main objection to your interpretation of QM is this: it is a speculation which actually solves no known philosophical problem.