Originally Posted by
HD3andMe
Ride more. Seriously.
You'll eventually learn where you are in your pedal stroke and learn to ratchet to prevent overlap.
^ This
My bike has toe overlap but years of trail riding makes my sense of where I am in my pedal stroke something I don't have to think about. I always keep the outside pedal low and behind the bottom bracket in tight corners. Just pay attention, form some habits, and after a while it becomes second nature.
I personally would not adjust your cleat position to escape toe overlap and make sure your cleats are set up for your leg extension and pedal stroke.