How to best randomize Simulink Random Number seeds for Rapid Accelerator simulation

I have a large model that I would like to execute iteratively in rapid simulation mode inside a parfor loop. The model contains 112 Random Number or Uniform Random Number blocks spread through various libraries and referenced models. All of them have a seed value of 0. Some of them produce vectors but because the developer (not me) never changed the seed from a scalar 0, the vectors are filled with identical elements.

I would like to randomize the seeds not only within the model (every block a different seed or set of seeds) but for each iteration of my parfor-contained rapid simulation execution.

Is there a straightforward way of accomplishing this?

So far I have tried replacing all of the seeds with randi(intmax,mySize), where mySize is set to match the size of any non-scalar values in Mean, Variance, Minimum, or Maximum. This randomized the outputs between successive runs from the Simulink window, but not if I ran the model successively in rapid accelerator mode with RapidAcceleratorUpToDateCheck off.

I am considering replacing each seed with a reference to a Simulink.Parameter in the base workspace before building the rapid simulation target.

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The bottom line: I see why random number repeatability is a feature, but I was hoping that there might be a convenient switch to truly randomize my data.