Specifically, the location of my consciousness appears to be inside my head. Say, what's inside my head? My brain, you say? Hmm, could be worth looking into.
This is a naive analysis of conscious experience.
When I stand on a drawing pin I experience a sharp pain ....in my foot... and not in my head. I also perceive the car outside my house to be outside my head.
Experience doesn't tell us where experience is located it tells us where the ..contents... of experience is located.
When people give verbal report they are unable to tell you which brain location might be causing their experience. It is the indirect observer who is crudely correlating the subjective report to the brain.
And what about when you are dreaming? I don't experience being in my brain when I am dreaming. The correlation between brain regions is not explanatory. The person is in their mental realm when dreaming.
One problem with positing consciousness in the brain is that you can't escape your mind and never experience the world directly to know it exists and therefore are stuck in internal realm of mental representations and chronic skepticism.
That is one of the reasons embodied perception theories have challenged the notion of things existing only in the brain as representations for conscious consumption but then they struggle with the problem of dreams and other things that are not direct perceptions like memories.
Other theorists like panpsychics and substance dualists posit consciousness as a distinct layer of reality.
You seem prejudiced only to examine consciousness as of the brain and are suffering possibly from confirmation bias.
If we weren't conscious then the mechanical view of reality would be far more compelling. Unfortunately we have a mental realm.