Flue-cured Virginia tobacco is a common ingredient in pipe blends. Straight flue-cured in a pipe can be enjoyable if "sipped" slowly, to avoid tongue bite from the acidic smoke.
When you say "cough", it suggests to me that you are attempting to inhale the pipe smoke. Don't do that. If you imagine the diameter of a cigarette (typically 8 mm), then compare that to the inside diameter of a pipe bowl (~19 to 25 mm). The smoke generated by smoking is proportional to the cross-section
Area of the ignited tobacco.
A = pi r^2
cigarette: 8 mm^2 * pi = 64 * 3.1416 = ~201 square mm
pipe (19 mm): 361 * pi = ~1134 square mm
pipe (25 mm): 625 * pi = ~1963 square mm
So a pipe can easily deliver 5 to 10 times the smoke per puff, compared to a cigarette.
The key to not being tempted to inhale flue-cured tobacco when smoking it in a pipe is to raise the pH (decrease the acidity) by blending it with less acidic tobacco, like Perique. This chemically enables your mouth and throat and nose to absorb nicotine, without having to draw it into your lungs' alveoli.
Bob