On occasion, I use a technique I call "lapping" that has the result of sending smoke out my nose. For me, the joy of cigar is in the aromas along the length of the body and to a lesser degree, from the foot as I swirl the end around my face to pick up nuances there. I do not enjoy smoke going up my nose, as it stings and actually causes the sinus to close to a drgree in defense of the assault on those delicate linings. And once the sinuses close, there is diminished aroma perception or taste. I never, ever inhale, even through the nose, as in "Frenching." But about a dozen times a stick, I will taste the smoke at various points during consumption, through this technique.
"Lapping" is just as it sounds, involving the tongue and lips, as if lapping water from a stream, only the tongue never travels outside the mouth. I believe George Burns used to use this technique during his stage act (if you are old enough remember seeing him) as he smoked a cigar almost always. Take a full draw and blow out - through the mouth - about half to 3/4 of the smoke depending on the strength of the cigar or your experience at doing this since, as others have mentioned, it can cause a choking or burning sensation if too much smoke is forced out the nose. Holding the remainder of the smoke in your mouth, start "clicking" the tongue against the roof of the mouth while the lips open and close slightly in sync - lapping. Smoke will be driven up through the nostrils as well as you getting a taste of the smoke on your palate and tongue. Think George Burns and you will know why people use the term "creamy" to sometime describe smoke.