Disappearing Domain

Hey everyone,

I am creating a session with two reader sources, a XDMF and an AMR.
The AMR files have a shorter time domain than that of the XDMF.

Is there a way to have a domain disappear when viewing a global time that is beyond its limits?
It seems by default all readers search for the time nearest that requested globally, so my AMR domain remains frozen at its last state, but I would like it to disappear instead.

I can of course hide things that are not desired while in the GUI, but I am looking for an automated way to capture this desired behavior for batch imaging purposes.