I know the OP decided, but as all of us he will typically buy another gun at some point. You might want to go back to the gun store, pick up that CZ-75B again, and after making sure it is safe, put the hammer on the half cock notch. This is the way it is designed to be carried in DA mode. Now see where your stubby little fingers are with it at half cock. Better now? Thought so.
It is also designed to be carried and shot, cocked and locked which brings the trigger all the way back in single action, and even better for you carny folk out there (you know, small hands
).