A large diamond plate would be best.
10v is no walk in the park when sharpening and to reprofile the edge will be a timely task for anyone. Even with my Atoma 140 diamond plate I remember mine to be an enduring event. A cheaper alternative would be a Norton Silicon Carbide stone, much cheaper than the diamond plate but still able to grind the steel quickly.
I have been carrying my K2 for what is probably about a year now and my perferred sharpening method is a Coarse DMT and a Balsa wood strop with 1 micron CBN. This edge has proven to be by far the best for this steel in terms of edge retention, sharpness, and ease of maintenance. I sharpen to a low angle and the steel seems to have great edge stability and toughness, taking hard impacts and regular abuse in stride. It's sharpness and cutting power is also a step above most every steel I have ever used, the edge seems to glide through materials as if they were all nothing more than water while staying razor sharp through cutting tasks that kill even my HAP40 blades.
Personally, the SM is out of its league here. The stones are too small to get the work done in a timely fashion so adding a large benchstone would be my recommendation. The Norton combo SiC stone would be the cheapest route and possibly a single stone solution to sharpening your K2. I would still push towards having a DMT Coarse though, it's ideal for maintaining this steel.