It is doable. I believe you need the id of each project you want to be different. Once you have this, you set the conditional rules on the extra fields you want to come up with for your Post Object field to have a value greater than 1 below your ID and less than 1 more than your id. So if you had a post with an ID of 151 it would look like this

That did the trick John. Thanks for the help!
When I input just the_post();
as suggested, I get stuck in the loop and the page never fully loads. I got it to pull in all of the posts with $req_query->the_post();
.
$req_query->the_post();
brings in all of the custom post type posts, and sorts them accordingly, but not just what was selected in the relationship field from the page editor.