Barbecue on a Budget: A lot of American barbecue began with inexpensive meat cuts, like spareribs, beef shoulder, and pork belly. With the economic insecurities brought on by COVID-19, we’re all feeling the pinch, and budget grilling has taken on new urgency. Besides, why should Kobe beef and tomahawk steaks get all the love? This is barbecue on a budget. Pamplona of Pork, Tea Smoked Chicken, Mystery Box-Chicken Livers.