Muffle it in my sleeve. If its really bad for you I would get one of those cough mufflers you see on cabelas.
I have a product called the cough blocker.. Looks kind of like a grunt call Just cough into this muffling device or even just clear your throat ... It does work Sent from my iPhone using Tapatalk - now Free
Take at least 3000 mgs of vitamin C everyday to boost your immune system. When you feel a cough coming on, take a deep breath and drink some water. Use a cough drop if it becomes frequent. Fisherman's Friends Cough drops are really good. They smell and taste like wood with a little menthol, but they work really well.
Coughing in the tree is the worst!!! I feel for ya!!! Pretty much the same advice here cough drops and water!!! I keep both in my pack! Just don't mix your pee bottle and water bottles up or coughing will be the least of you worries! Haha