Interesting topic and if more people have experience, please let us know!
I have got a Takeda yanagiba. It’s double beveled, but has a very acute angle (less than 10 degrees per side). This is too steep for the WEPS, but to be honest, also too steep for practical use, so I put a 15 degree microbevel on it. If you’ve got a single-bevel yanagiba, 15 degrees on the edge side may still be too steep.
Indeed, don’t use your coarse stones on them. I’d start with the ceramics and then work up in grit size to see which stones abrade properly without damaging the edge.
If you want to emphasize the haze, waterstones are the best for this, as BluntCut wrote. According to the pros (Ken), some Japanese waterstones work best for this purpose.