Is there a way that I can get a small angle between my leader and the landing? When I get to a certain angle, the text flips. I can't place the text exactly where I want it because of this. I've tried changing the Readability Bias angle in the label style but that didn't work.
Are you viewing the object/label through a viewport?
Is it a Data Shortcut?
I would be inclined to change the orientation reference on the label to View if through a Viewport. You can always create a copy of the label style if this is the only label that you want to be displayed different than the rest.
If I am understanding your issue correctly (I think we have the same issue) you are unable to place Structure Labels directly above or below the Structure that you wish to label... As soon as you move too close to vertical the Label 'Flips' to the other side, which can be a pain when you need to move the label to avoid clashes etc. Unfortunately, as far as I am aware there is no way around this. Hopefully this can be fixed some time soon.