I've been doing my sorting this way for a while:
You can see the tubes behind the chests a bit in the bottom right.. need to fix that. The iron chest in the floor is the input chest.
Basically, all items to be sorted pass through the same tube network. None of the sorting machines are colored. Rather, I just used covers to separate each sorting machine's exit tubes so there would be no crossover. Didn't have paint and didn't feel like making it, this works just as well.
At the bottom there you can see the overflow chests being stocked by routers, which is standard. I have multiple on there in case something gets stuck. The item flow goes to the chests up top first, if full then to the routers, if full then to miscellaneous, if full then to overflow miscellaneous.
And the shorter side. You can see the tube coming from the last picture, as well as room for expansion.
Each chest has a possible 40 different items that can be sorted to it per machine, and there's room for at least two machines on each chest.
And here's a view at the configuration for the sorting machine:
I used to use this sans barrel and it was nearly flawless. When I added the barrel + router combo, overflow was getting stuffed in miscellaneous chest first, then sent to routers. When I switched it, miscellaneous stuff goes to routers first, then to miscellaneous chest once the routers get backstuffed. Only workaround I've thought of is to have a sorting machine filled with things from the barrel put before the routers so they won't get stuffed.. haven't done that yet, though.