I fail utterly to see the problem. You shut one down, then you have to look at continuing on three. Which assumes you will have to accept another degree of failure, e.g. another engine failure. So either it is a beaut day, no high ground coming anywhere near your two engine limit - in a 400 it is going to have to be something pretty spectacular, the Himalayas - and there are aerodromes all the way you can divert into more or less at short notice, and you have fuel to destination plus reserves; or the high ground is above you on two, or another failure will leave you a long way from safety on two, or you don't have the fuel. In the later cases, land somewhere. Soon. In the former, keep going; and if it goes bad, dive into one of the suitable funk holes you had in mind all along. Into the pub, into the bar, and start on the paper work. Stock, standard, normal.
What else is new?