Hi Jesse,
From just sampling the priors I do get what I expect! Priors:
When I narrowed down my Log-Uniform prior from a minimum of 0.00001 to 1, I managed to obtain the correct posteriors. However, the divergences persisted.
Also for more context, these are my final posteriors:
The regions of high curvature are a massive issue for omega, Omega, and tau. I am still working on how I could re-parameterize them… (This could be the issue but not totally sure)