Good day Brian.
Actually, I found my answer by playing with it. You can use the Embed feature on Public by choosing your filter first, then choosing Embed.
So, in a nutshell, we have a main map, with 5 filters (by school program). If you select the drop down and filter for that particular program, when that data loads, you can then Embed, and the code can then be placed on a page and when the page loads, it will load that data, and not the default.
Hope that makes sense. This works for us perfectly.
Thanks for the quick response.