That lineup would have a lot of trouble with ballhandling, so you'd need Tate at the 1, and then it would have a lot of trouble with shooting, so you'd need Finke at the 5, and then it would have a lot of trouble defending anybody.
Because of that conundrum I feel like you need either JCL or Black on the floor at all times. Any lineup JCL is in has adequate shooting, and any lineup Black is in can at least somewhat defend.
Maybe you could go a little Flying Illini with Hill, DJW, Kipper and Black all as long athletic guys around the same size? Could Lucas handle that assignment to make the shooting and ballhandling aspect work? That's a fun message board fantasy, but putting a true freshman at the helm of a quirky experimental young lineup could be a recipe for a ton of mistakes in a real game.