I thought it meant something like 'my eyes almost glazed over',

That would be incorrect. The phrase is usually used when somebody lays eyes on something unbelievably astounding or lavish and almost can't take it all in. The above cited translation is reasonably close in my opinion.

Thanks! I was about to use the phrase and thought I'd better first verify its meaning.

jemandem gehen die Augen über - somebody's eyes are popping out of their head

Thanks again. I guess I was led astray by the fact that everyone on the boat found the first officer stiff, pedantic, officious and boring and his diary entries were to my mind also stiff, pedantic, officious and boring. Just reading them made my eyes glaze over, so I projected that sentiment onto the marine correspondent.

Two questions;
Is 'jemandem gehen die Augen über' close in meaning to 'jemand macht Stielaugen'?
Is the phrase used often enough that it deserves a LEO entry?

Is 'jemandem gehen die Augen über' close in meaning to 'jemand macht Stielaugen'?

Not quite. "Stielaugen machen" means "to stare at something surprising or unexpected" or "to stare curiously or longingly at something".

Is the phrase used often enough that it deserves a LEO entry?

IMO both phrases are common enough to warrant inclusion in dictionaries.