ME Welp. I am only marginally active in the low-sec regions - but am primarily a loyalist corp, there are a few Low-Sec based corps in Khanid space, being close to the Blooder Regions means that there are a lot of 0.0 corps in transit in that area.
But, if you are interested in the Khanid Mashtori (search Mashtori on Backstage for details), they have a pretty awesome backstory that I have written up, its a fairly different take on the Kingdom compared HurrDurr Amarrians-but-not which is what a lot of people take the Kingdom as.
As for the East Khanid Trading alliance isn't outwardly active RP group as far as I am aware, at least not that I have ever really seen - but its about the only other place in the Kingdom that has RP'rs in it... we are in desperate need of some love.