I have been on a few training trips. Even when I was drinking I never drank on the trips. I always thought of it as being at work since I was representing my company well I was there. When we would go for dinner I always like others, ordered a non alcoholic drink and no one batted an eye at it. I have never been asked why I was not drinking.
I think for the most part as long as you're not questioning why they are drinking they never question why you're not LOL