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.
With regards to the icons ... #19 - this is an S split by the "G" from your surname, thereby giving you 2 "S's" which represent your names. #20, #21 and #22 - these are all an uppercase S made from 2 "G's".
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.