Probably the closest thing to an all-in-one set of CHC measures is the family of Woodcock-Johnson tests (which, naturally, is actually mostly authored by Kevin McGrew and his team, not either Dr. Woodcock or Dr. Johnson!), but administering all of the subtests from all three sections of the battery would probably take a couple of school days of doing basically nothing but testing. And you're right--that would probably be a nightmare for most students!
Even then, there are quite a few skills not addressed.
