Cj & flaps
As the UK's only TRTO I thought I would say my bit as I spend a great deal of my time flying around on one engine!
The CJ is a simple aeroplane and can quite happily cope on one engine and full flap. The issue is usually what the operators SOPs are. Most will require a fully stabilised approach to be flown from 1000' agl. You cannot be fully stabilised if you still have a stage of flap to lower. In my opinion landing is never assured until you have landed!
In an aircraft such as the B200 (King Air) going around single engine fully configured is demanding but is very straight forward in the CJ. Unlike the King Air the CJ eats runway especially flapless so my advice is that you should always be fully configured by 3nm or 1000'agl.