And you're sure that the dizziness is not a medical problem? (improper glasses, balance and proprioceptive problems that flare up when you're tense, lots of things cause dizziness.)

Well, either way --

I tend to feel anxiety and tension in my body, in fact that is how I track my emotional mood. (I'm not very sensitive to my actual feelings.)

One wierd thing that helps is, because I feel this stuff physically, I can think about how the sensation physically feels, the location of the sensation, the shape of it, how far it extends, how it feels, and so on. If I really concentrate on the physical feeling, it tends to fade away.

This definitely helps me with anxiety, which for me is located in my stomach and my chest. I can even use it for headaches (some of the time.) Works for some other things, too.

So I don't know if this would work with dizziness, but it might be something to try.