I have to unfortunately fix way too many edges sharpened on the work sharp to ever recommend it.
You can get "Scarry Sharp" with the stones you have, using very light pressure and making sure the burr is removed will increase the sharpness. Adding a strop with some 1 micron diamond or CBN would really up the sharpness too. What grit/color DMT's do you have?
Every stone that is not diamond, CBN, or Silicon Carbide will have trouble sharpening steels with Vanadium contents of 4% and greater. The troubles increase as the percentage of V increases and as the grit used to sharpen becomes finer. Most Coarse grit wasterstones, oil stones, or even wet/dry sandpaper will cut these steels but its when the grit gets to the polishing level that the abrasive and the very hard Vanadium carbides of the steel start having a bigger effect on each other. This is where most will switch to diamond films or CBN compounds on a firm strop, they work well to polish steels with high levels of wear resistance.
If you would still like to add something new I would recommend Shapton Waterstones, fast cutting and slow wearing with a reasonable price tag. They work best on more average steels but can tackle some of the higher alloy stuff better than most other "stone" options.