OK. I figured it out.
In the Measurement Express VI, one has to be able to get to the Reset Boolean flag within the ex_subFileWrite.vi.
That is the easy part.
The non-trivial modification is after going several subVIs deep, one has to set the ex_SetExpAttribsAndT0.vi to NON-REENTRANT.
After doing this, everything works.
If there is a better way, I would like to know!
Robert