Place the uncooked breakfast sausage, cubed cream cheese, shredded pepper jack cheese, and Bisquick baking mix in a large mixing bowl. Using clean hands, knead and blend the ingredients thoroughly for 8 to 10 minutes.
Continue working the mixture until the sausage fat has been absorbed into the dry ingredients and a uniform, cohesive dough develops. Allow the dough to stand at room temperature for several minutes to make shaping easier.
Divide the prepared dough into portions and roll each one into a ball measuring approximately 2 inches in diameter.
Arrange the formed sausage balls on a baking sheet or tray. Press several pieces of pickled jalapeño onto the top of each ball to provide additional tanginess and heat.
Prepare a smoker, grill, or Big Green Egg for indirect cooking according to the manufacturer’s directions. Stabilize the cooking temperature at 250°F.
Set the sausage balls directly on the cooking grate, leaving enough space between them to prevent contact.
Smoke for approximately 25 minutes, or until the center of a sausage ball reaches 155°F when checked with an instant-read thermometer.
Remove the sausage balls from the heat and let them rest briefly. Residual heat will continue cooking the centers as they cool slightly.
While the sausage balls are smoking, combine the prepared mustard and honey in a small bowl. Stir until the sauce becomes smooth and evenly blended.
Taste the dip and modify the honey-to-mustard ratio as desired.
Arrange the warm smoked sausage balls on a serving platter and accompany them with the honey mustard dipping sauce.