You contact your bank, and request a one time daily increase in your ATM limit. I did it with my credit union. No problem.
Most places where you can get money back, such as supermarkets (Safeway), and a good number of drugstores will allow you to get money back. Some such as Safeway will allow you the full $200 over the purchase amount. Some like Trader Joe's only allow $50. But you can only get the $200 if you haven't gotten cash back elsewhere for the day, such as your ATM.