Wrapped up the project today. Need to fix some of the sod I tried to preserve, but the drain/stone/dirt is all in place.
I moved over 30 wheel barrows of dirt/clay, ran 110' of 4" smooth plastic pipe, and added cleanouts for all downspouts. Added 1.5 tons of 3/4 cobble stone to surround the pipes and 1-3" stone to surround the basin with drain fabric. All drains lead to a 30 gal pit with an overflow popup about 40 feet from the house.
We shall see how well everything flows with the rain that is coming.