I go from 8k to my Shuobudani with Tenjyou and Mejiro nagura then to a tomo and it has worked well for me. The Shuobudani is slow so I find I have to spend some time with just water to finalize the edge. If you decide to go with the Arkansas I have gone from an 8k synthetic to my Washita and then black hard Arkansas and the edge makes me wonder why I am spending money on Jnats.
While we are theorizing here about combinations of stones and progressions... I've heard someone tried jnat nagura slurry on a coti (without great success, if I recall correctly), for some reason reading this and thinking of my problems finishing on anything with just water and being given the suggestion to use light slurry, how about a thin thuri slurry on hard shuobu?
And before someone says "try it and report back" I will, but then we won't know if the failure is me (very likely), or the theory being invalid.