I'm a "squares only" kind of a guy too, and also an Oakley fan, so my suggestions would be:
Chop Top 2.0, if you're looking for a thicker titanium frame with spring hinges.
Thread 2.0 or Spoke 2.0, if you're looking for a thin, really lightweight frame.
Why 3 / Why 4, or the Split Thread 2.0, if you're looking for super light rimless frames.
I own the Chop Top, Thread, Spoke, (all in 2.0) and Why 3, and my personal daily wear is the Why 3, it's absolutely the best eyeglass frame I've ever owned. It's super light, has that lovely high tech titanium hue, and is sculpted with very distinct curves...it does not look like "just another pair of glasses". It even has the signature X-metal look when you fold it up, with the temple part of the earstems hanging out like a pair of wings. Just make sure to choose a rimless shape that goes with your face.
I'd just be careful about going with any Oakley frame that uses C5 alloy as this is a VERY heavy metal, better suited for just occasional sunglass wear. All of the frames I mention are all either titanium or are done so thinly that the weight is negligible.