I'd start by fixing the mesh. The y+ concept is abused, misunderstood and isn't the only thing you need to consider: what does the flow do in the cells that aren't next to the wall? In CFD we look at ortho quality (usually for polyhedral cells), skewness (0 to about 0.8 is good, over 0.95 is bad) and aspect ratio (ranges vary, up to a few hundred are OK in a developed flow, 5 is high if the flow changes along the long edge of a cell).
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