Hay ice I might be able to shed some light on that question
You have seen my avatar and see that my mirror is even more exposed , no box at all.
I don't have a problem with stray light , even from the street light near my home.
The only time it becomes a problem is when the light is coming from directly behind or the front of the scope.
It then will get onto the secondary or primary and cause problems and for that I have a black felt shroud that can go around the scope once it has cooled down real quick.
The most important part that need to be protected all the time is directly behind the focuser .
You need to have some thing to block the light going directly into the focuser , either a full tube for the end or a baffle opposite the focuser.
I can shine a torch beam straight through the side and it has no effect or little.
You have to remember your physics and the angle of incident and reflection stuff to relize what it will take for light to get into the focuser and eyepiece.
If you have light coming from the side of a scope onto the mirror it is going to bounce off out the other side depending on angles , and for it to make it's way to a focuser at right angles to the mirror ---well
You don't see many research scopes with a full tube , not even shrouds just a darkened area.
A full tube will of coarse be better if you surronded by city street lights.
Hope this helps.
Go Trusses