RE the lag pressure thing: It could be that the clubhead is lagging too far behind, opening the face a touch. Try a forward press, or try setting up with your hands more forward. That way, your clubface at address and impact will be more closely aligned. You could also try firming up your grip a touch to create more stability in the clubface and shaft angle.
The drill that helps me the most with speed and line without getting bogged down with my own thoughts is putting while looking at the hole. It really gets me in tune with the target, and it translates well to the "putt to the picture" technique O.B. was talking about.
Threaded Mode
