I thought this would be simple… How hard can it be?

I wish to add a search function to the main menu. Here are the features:
– Single icon. Clicking the icon opens the search box.
– Option to search only pages, not posts.

I have looked at several plugins (bop search, add search, search box, relavanssi, etc.). All of them fail to meet the two criteria above. Mostly they do not have an option to show only an icon.

Are there other search functions?

Divi theme support: https://www.elegantthemes.com/forum/

As the author is aware, commercial products are not supported in these forums. As you are their customer I am sure they will have no problem supporting you there. Also, forum volunteers are not given access to commercial products, so they would not know why your commercial theme or plugin is not working properly.