>>I think you have it reversed the screen funnel is between the nuc 
and the opening in the house/tree, the other nucleus entrance ids to 
open air.

I see.  So the funnel could be solid and used like a bee escape 
that's one-way into the nuc.  I guess the end diameter of the funnel 
on the nuc side would have to be just large enough to let a queen 
pass through.

I like this idea.  Just about the only good way (other than trying to 
drum the bees out or drive the bees out with a bee propellant) to get 
the queen out of a tree nest.

Waldemar 

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