Smoked Chuck Roast Queso. I’ve seen plenty of smoked Queso recipes and they all look good. Here’s what I did that I think puts it over the top: when smoking the chuck roast I put a foil pan under the roast with a small can of beef broth in it. It does two things. It keeps moisture in the kettle helping the chuck not dry out, it also collects the drippings. I save that and pour about a cup of the drippings into the Queso. The charred and roasted jalapeño along with the drippings give this Queso an incredible smoky richness that is incredible.