@ Admiral Archer
You wouldn't be the first having that kind of trouble, but I just couldn't ignore the scenes from the beginning of "The Ultimate Computer" and others which exactly do suggest this.
Interestingly, I do have this highly detailed Galaxy Class cutaway
where the artist apparently (but erroneously) concluded from the actual studio set plan that the TNG engine room should be close to a circular structure (i.e. computer core) - which curiously was the major inspiration to apply the basic thought to my TOS Enterprise
deck plan proposals.
I agree, because in my deck plans the ion pod will be at the bottom of the engineering hull and the bowling alley probably in the connecting dorsal.