But I'm saying that doesn't exist in reality whatsoever.

If you have mass (or even light itself does this) in this universe, then you will effect the time dilation of other mass objects and they will effect you. These effects permeate all of the universe.

Sure, you can imagine such a place. But so what? It wouldn't apart of this universe, because by definition it can't be.

If you're just using this as an imagination technique to describe what you'd see the universe do if you experience no time, then ok. But I don't think referring to relativity is necessary in that instance. I mean you could just instead say "what would the universe look like if I experienced no time?"