Turn the ribs bone-side up. Slip a paring knife between the thin membrane and the bone to loosen, then pull off the membrane. Mix the brown sugar, paprika, steak seasoning, cumin and oregano in a small bowl; rub all over the ribs. Place on a baking sheet, cover with plastic wrap and refrigerate at least 6 hours or overnight.
Preheat a grill to medium high and prepare for indirect grilling: For a gas grill, turn off one or two of the center burners and reduce the remaining burners to medium low. On a charcoal grill, bank the coals to the sides, leaving the center open; set up a drip pan to avoid flare-ups.
Oil the grill grates. Place the ribs bone-side down, overlapping slightly if needed, on the cooler part of the grill (indirect heat). Cover and cook, rotating the rib racks once, until the meat is tender and pulls away from the bones, about 2 hours to 2 hours 15 minutes.
Mix the honey, vinegar and a pinch each of salt and pepper in a small bowl. Transfer the ribs to direct heat. Brush with the honey mixture and continue to grill, uncovered, brushing with the honey mixture once more, until glazed, 5 to 10 minutes. Transfer to a cutting board and cut into ribs.