> According to my English-Japanese dictionary, "見渡す" seems to reflect the nuance of "over".

Maybe. When I checked with Google Translate what it'd say for "look over," it suggested 見渡す, but I think there might be some difference. Based on what you posted, if I wanted to say "thanks for looking over my writing," I think "この文章に目を通してありがとう" seems more correct by my reasoning, but would 見渡す be usable too?

> Here, readers have to think about what "定期" means. To me, it seems to refer to the day on which the meeting is held regularly.

Ah, maybe I wanted 期間 here? I suppose for the sake of the point I'm making, the specific interpretation doesn't so much matter, but I was thinking more of "scheduled time for the meeting."

色々教えてくれてありがとうございます。

You're welcome.

> Based on what you posted, if I wanted to say "thanks for looking over my writing," I think "この文章に目を通してありがとう" seems more correct by my reasoning, but would 見渡す be usable too?
In this case, as the dictionary suggests "(書類などに)ざっと目を通す", "目を通す" is appropriate. I suggested "見渡す" because I didn't think the object was your writing.

> Ah, maybe I wanted 期間 here? I suppose for the sake of the point I'm making, the specific interpretation doesn't so much matter, but I was thinking more of "scheduled time for the meeting."
If so, 「ミーティングの予定時刻は過ぎている」 is appropriate.

> I suggested "見渡す" because I didn't think the object was your writing.

Ah, sorry, it seems I misunderstood your point. I was thinking more in general terms "'overlook' and '見過ごす' seem to mean the same thing, using similar words, though 'look over' and 過ごし見る' don't seem to have the same symmetry." I think I get it now, though.

Thanks for the follow up. 予定時刻 makes sense. ありがとうございます。

You're very welcome.

そうですね。ワクワクと勉強して頑張りましょうって感じがします。

ありがとうございます。