The 960 is quite a bit smaller than the 930. In my hands, the 960 was small and difficult to hold comfortably, and I don't have particularly big hands either (the 705 is too small in my hands too). IMO, the 930 is a knife of better materials. The aluminum handles on the 960 are only level 2 anodizing (as opposed to HAIII hard anodizing), so they'll show wear if you chose to use the knife in the real world. The 930 will definitely hold up better cosmetically. I had a 930, and it truly is a beautiful knife to look at, but like you mentioned, the exposed bits of the liners are a bit awkward and can be uncomfortable. It was also thicker than I liked, and I felt the lock was more difficult to engage than other AXIS lock knives I own and have owned. I eventually sold it, preferring my 940D2CF.
However, if I had to chose between a regular 94X, a 960, and a 930, I would chose the 930 based on handle material alone. I'm simply not a fan of level 2 anodized aluminum on a working knife.