(Assuming no Akok, a Javonte Brown Ferguson redshirt, and no Martin)
Starting lineup to start the year: Cole, Gaffney, Bouk, Whaley, Carlton.
Gaffney will sub out along with Carlton first. Jackson and Polley will come in and Bouk will slide to the 2 creating Cole, Bouk, Jackson, Polley, Whaley. This lineup will be a big changeup and torch opposing D's causing opponents to change their substitution patterns.
Sanogo will come in for Whaley and Springs for Polley, Gaffney for Cole and Adams for Bouk creating a bench squad + Gaff lineup of Gaffney, Adams, Jackson, Springs, Sanogo. Assuming Springs can play some D, this lineup will lock down opposing bench units with 4 fresh legs + an uber athlete.
Bouk likely comes back in for Jackson after a few minutes for more shot creation and because we want to maximize his minutes while keeping him fresh. Then a few minutes later Cole, Whaley, and Carlton sub back in for a few more minutes of the starting lineup and rotation moves to a new cycle.
This rotation creates a minute distribution of:
Cole 2x
Bouknight 2.2x
Whaley 2x
Gaffney 2x
Jackson 1.8x
Polley 1x
Carlton 1x
Sanogo 1x
Springs 1x
Adams 1x
With 200 minutes available, that makes x=13.33. So Bouk gets around 30, Cole/Whaley/Gaffney get ~27 minutes each, Jackson around 24, and Polley, Carlton, Sanogo, Springs, and Adams 13.
This rotation has an even split between Cole running point, Gaffney running point, and them both in the game running it together. Offense likely flows entirely through Bouk when he's in the game with the Gaff+bench squad.
It also has an even split between Carlton, Sanogo, and Whaley minutes at the 5 (with Whaley also getting 1/3 of the PF minutes). Sanogo eventually begins subbing in for Whaley for half that 2nd lineup rotation or stays on the court when the starters come in at the end of the 3rd and Carlton stays longer on bench.