Question about hiking and Binding with the risk of AMS

I know you shouldn‘t bind when working out and I never do. But I am planning a multiday hikingtrip coming summer and I would like to take some pictures and also feel comfortable when hanging out with people at the mountain cabins. So I wouldn‘t wear a binder when going up or down but I would wanna wear one when I am at top. Do any of you have experience with this or does binding put you at higher risk of AMS (Altitude Sickness)? I won‘t be on mountains with very high altitude but I will be on those with high altitude (like I will get above 3.000 m (10.000 ft.) where at least according to wikipedia (bad resource I know) the Frequency for AMS is 40%).

so it would probably be pretty dumb to bind then, but does anyone have any experience with it? Obviously I don‘t wanna make myself sick but I would hate to not have a single picture of my trip that I actually like (and if I don‘t bind I will like non).
I am allergic to tape so binding with tape is kind of not a possibility.