I don't think that god is considered 'too big' to be hidden in the room. I think god is usually considered to be immaterial. Not of this world. Would you ever be able to find the number pi in your living room? Is it too big to hide there? Or is it just another silly question that is only asked by small children too young to understand and pedantic anonymous people on the internet?
I don't mean to be pedantic, although I can be arrogant, I admit. But I take this stuff 100% seriously. For me it's not a philosophical discussion, it's about what's real or not.
So I consider it all pretty closely.
The comparison with pi here, for example. I don't think it works, because neither of us is saying God is a ratio. So why would you expect God to have the qualities of a ratio?
No, let's look at God instead and ask ourselves what we'd expect to see if folks had been right about God all along....
Do we see prayer working better than chance? No.
Do we see any scripture being accurate about the supernatural bits (as opposed to the mundane stuff, such as the existence of cities, historic persons, and geographic features)? No.
Do miracles turn out to be real? No.
Has it turned out that the weather, and the climate, and the celestial motions, and such are attributable to gods? No.
Do we have souls? No.
Look, the whole worldview on which god was based, and into which god fit, has vanished, debunked.
It makes just as much sense to believe in, say, the God of the Bible as it does to believe in Noah's Ark.
And if you run through the list of gods and you see that none of them make sense anymore, and all for the same reasons, it's not a valid excuse to demand that you be allowed to invent entirely new definitions no one has ever accepted before, or opt for none at all.
I mean, it's like when phlogiston was disproven. It was a hypothetical fuel for combustion, but once oxygen was demonstrated, phlogiston became impossible to reconcile with observation, and eventually all its proponents changed their minds or died.
But nobody used arguments like these:
"What if phlogiston is something we actually can't conceive of?"
"What if phlogiston exists somewhere else in the universe?"
"What if phlogiston exists outside the universe?"
"What if phlogiston exists on another plane of reality?"
"What if someone someday discovers something that does exist which is also called 'phlogiston'?"
"What if phlogiston wasn't what we thought it was, and it has precisely the same qualities as oxygen?"
"What if we can't trust our senses?"
Nobody made those arguments, because they're ridiculous.
Yet they're made about God all the time.
And I don't say all this to bust your chops. I say it because I think it's extremely important to really think about what's going on in this world, and what's not going on.
God ain't going on.