Sorry, I still cannot post or respond to posts in the Q&A.
The reference image I am working with is found here:
https://www2.deloitte.com/us/en/pages/consulting/solutions/smart-manufacturing-solutions.html
...the sphere of shapes where they are mapped evenly.
So while I agree that a spline makes this easy, the look I need a a flat swarm of particles that approach tangentially to one side of the sphere, evenly wrap around and flow spherically for X number of seconds. Surface Attract was working for this, but I cannot figure out how to align the particles along their path when using this modifier.