I'd argue that Cosmo had the right of it by suggesting using a smaller pipe, a smaller amount of tobacco, or just finishing the tobacco later. But if you got to get a smoke in, then a lot of the burley-based codger blends are your best bet. Something like Sir Walter Raleigh. These blends tend to be cut very fine, are dry, and are very mellow, so there is less chance of bite if you decide to puff. Just avoid the more heavily cased/topped ones.
I occasionally find myself tempted to do so, and when I do, SWR is my go to. But 95% of the time, if I can't get at least 20 minutes to myself, I won't even bother with it. My pipe is a tool not just for sake of flavor and nicotine, though I enjoy both, but also to cultivate calm and thinking, two things that cannot be rushed. I make it a point to try to smoke by myself or only in good company. I don't mind if a stranger wants to ask me about my pipe; hell, I welcome it if they are polite and genuinely curious. But I prefer to enjoy my smoke on my own terms and without question or judgment.