Ok the only thing I can think of to try is to not feed after nadir - that shortens duration and makes numbers climb. If anything, a very small snack.
You don't have room for an increase, so your hands are a bit tied right now.
Give removing/minimizing good after nadir about 2 weeks to see how he does. If you still see the same patterns, I'd consider a switch to a depot insulin like Lantus or semglee