Can I be forced to go Airborne or Air Assault due to a duty station's homage if I have no desire or interest to go?

You can’t actually be “forced” to do anything. But being at a place like Ft. Campbell you will have go to Air Assault school or you will have no upward career progression. I’m have no idea why you joined but the majority of the Soldiers in the Army will never be in a unit or in a position to even have schools like that offered to them. There is no school in the military you can go to and come out dumber than when you went. So you will learn something even if it’s small. If it’s offered I wouldn’t turn it down. If your in a stage of your enlistment where you are just ready to get the heck out, going to a school May give you a different perspective and you may enjoy it. You may not want to re-enlist as indefinite but it may make your remaining time a little more tolerable.

Bro. Go, that will look good for you if you wish to stay in for a good amount of years, promote to higher enlisted or cross over to the O-Grade Ranks

Take me for example, in my unit it’s rare to get slots because we’re “mechanics”. We constantly ask and it gets pushed to the side (even if you have good PT score or do great work.) If you have a unit or leadership that’s pushing you to go, go for it my guy so it won’t be harder later in the long run.

I assume you'd be "Strongly encouraged" to go, I don't see why you wouldn't want to go. I know guys who would fight you for a slot at either. 3 weeks and you get a shiny badge and some promotion points, doesn't sound like a bad deal to me.