If I drink coffee it’s usually a latte or flat white. In NZ, breakfast and after dinner is usually black tea with a dash of milk. That’s seems to go well with the pipe for me. I can’t seem to drink alcoholic drinks while piping. They hide the tobacco flavour.
More than you want to know about me, coffee, and a tobacco pipe: I do a small pot of coffee, stove-top percolator, in the morning hours before I usually light up a pipe, so there's that. I put a small amount of milk in coffee, to cut the acid a little, by my lights, and milk coats my mouth and reduces pipe flavors anyway, to me. Coffee is a big complex bouquet of flavors, as is nearly all pipe tobacco, even single leaf, so I find the combination cancels too much out on both taste experiences. This is all just me. No advice here for anyone else. Love my coffee. Love my 'baccy. Other drinks complement a pipe well for me.