Use a tour guide or self guide

There is at least one other option - hire a private guide. Your wife could have all the time she requires to "get the perfect shot" while your in depth experience can be enhanced by a knowledgeable local expert.

A private guide would be ideal, if your budget allows. Otherwise, as far as Athens is concerned, a good guidebook may be enough. The RS books include walking tours with a lot of information. You can read aloud while your wife lines up the perfect shot. The more research you can do ahead of the trip, the less you need to do "on the fly" while you're there.

On our trip last year, we used Rick’s Greece book and audio guides for guiding ourselves most of the time, but hired a private guide for Archaea Olympia. Even then, the tour pace was pretty brisk, with a lot to be shown, so there was time to take a few slightly-extended photo ops, but we didn’t have all day. She had another tour-with French speakers- right after ours. If you had a guide for the whole day, the schedule might be more tailored to a more leisurely pace.

At one sight after another, our experience was that crowds were much less right when a sight opened, and the last hour before it closed. If “the perfect shot” might mean fewer tourists in the picture, early and late are good times to be there. At Delphi, though, after the museum and the sights uphill from it had closed for the day, the temple a half mile down the road in the valley was still accessible, and was mobbed.

Also, Free Walking Tours of Athens is a good idea, too. Yes, it says "free" but they expect tips, from 5 to 7 euro per person in the group. I have used them once and plan to use them again this summer. The first time was great! The guide was friendly and well-informed.

https://www.athensfreewalkingtour.com

Awesome advice thanks for your input