I found a solution-sort of. It’s not perfect but I was under a time crunch and my client was happy with it, so I consider my problem to be resolved.
I ended up downloading the WP Plugin, PWA+PHP. It’s a plugin that works with both private & public albums in Picasa. So, I created a couple private albums in Picasa, used the plugin to display them in my WP site and I got pretty close to what I wanted. The galleries are all displayed with only one image, so I can have multiples on one page. The only drawback is that each gallery opens itself up on a new page and expands when clicked, but the images open into a lightbox, and there is a link for them to navigate back to all the galleries. To see a sample, go here:
https://test.newglowfloors.com/work-with-us/
The interface for setting this up is foolproof, so it should be easy. Good luck!