Brian - great question! I definitely don't have all the answers, but do have some experiences and some time testing some of these ideas. You are correct, I think we have different terms for what we are discussing... I really like the term "Ministering Group" where more than two individuals are assigned to one individual. That is totally fine and works great - especially when those called to minister to that individual know the "why" behind their inspired call. As you can imagine, there are still EQ and RS presys that ask their class or quorum to refer to the tools app, or pass out peices of paper when giving out ministering assignments. When I train EQ or RS presys I start with... How were you called to this calling? Usually, there is a very personal and spiritual answer to how they were called. As a Stake Presy, we make an effort to explain how we prayerfully approached the Lord and how we knelt in earnest prayer together to ask His will as we present names for callings - and wait - and usually feel his confirmation - although we have also received a quieter "sure, that makes sense" answer - and for sure, we have gotten the "stupor of thought - or an outright... no, it's not right." When they share these experiences, we ask them how that makes them feel about their call to serve. It's usually something like: "although I feel inadequate, I know the Lord has confidence in me" or "I had an idea this was coming", etc. So then we ask EQ and RS presidencies to do similar when they extend ministering assignments - they are calls, directed by the Spirit - and we testify that the Lord has a purpose in mind for each of them. Anyway, sorry to be long-winded, but this has been a very impactful and honest way to extend callings - and assignments.
I have a new favorite "go to" that gives some great answers... if you go to LCR, then login to the Handbook, you will see a Search Assistant pop up in the corner. That is an AI tool that answers handbook questions. Here is the answer I got with your question:
Yes, more than two people can be assigned to minister to an individual. In some cases, youth may be assigned as a third member of a ministering companionship. Leaders may assign the youth to help minister to some or all of the individuals and families assigned to the companionship 1. Please consult the General Handbook to verify the accuracy of the answer and to further study the related topics.
21.2.2 Ministering Assignments for Youth
I do think you are inspired to be creative in this way, and it's in alignment with the handbook. Circles are much different where assignments are made generally because of proximity - and that doesn't really let leaders "wrestle with the Lord" to know his will on whom should minister to whom. You are doing something totally different - and I believe it definitely has a good place in making effective and inspired assignments! Thank you.