Here are some of my concepts. I've gone for something that's fairly clean and simple, yet striking. Creating an icon that works well within the logo or as a stand alone element, one that can be used for things like favicons or watermarks.
The logos are 100% vector so will scale well to any size, and works well in full colour, B&W and on coloured backgrounds if needed,
It would be my pleasure to work up any variations so please do say. I look forward to your comments or thoughts.
Regarding #10 and #12: I really like the "cleanness" of the lettering in #10. The "slogan" does not have to be included which might enable the name to be larger relative to the symbol. The symbol in #12 is interesting in that it could be a square inside a circle or could almost be arrows or the letter "L" turned somewhat sideways. I wonder if there's a way to make the symbol less busy because I really like the concept of it.