I have to agree that the Tango may not be the best dance to do. But since you have selected it.....
One interesting historical fact is that in the original tango, or at least the one that is done in Argentina (you can easily argue that noone dances it in its original form any longer)- but anyway, in the Argentine tango- no matter which way the man and woman are walking, their chests face each other. Try this-
Walk around a chair. Always face the chair with your head and chest. But take a step to the side, and then a step in front of your body, and then another step to the side, and then a step IN BACK of your body; PIVOT if you have to, in order to keep facing the chair. Keep on going. FOUR steps should get you around the chair. That is a MOLINETE in Arg Tango, and is a basic exercise for learning it. Notice how there is a real disconnect and tension between the top half of the body and the action of the lower body.
That certainly is not the same CBMP as you would get in a waltz, but it is TANGO.
Jerry