Smoothing surface of finishing hone question

[Christian1]

I have 2 finishing hones right now an Oozuku jnat and an extremely hard coticule. I recently lapped the coticule, it was giving really good results but I noticed it wasn't completely flat. I lapped the coticule with a somewhat worn out dmt 325 plate and now I was wanting to smooth out the surface some. To smooth out the surface of the coticule I was thinking of either using a 5k/8k naniwa ss, my midstone jnat,or my thuri bout. I have seen some post where people warn that particles can get lodged into other stone and what not so thought I would ask you guys. Could use 2k sandpaper but I would rather not, just looking for info on using other stones.

Thanks for any help

edit: I do have slurry stone for it, I know it will smooth it out as well over time