Hopefully one of the other guys can chime in...
I believe it would require a custom gateway. Now, you could use the CBR and ignore all the other messages you receive outside of your time window. Simply toss them to the floor (the CBR has that capability).
You might building your Quartz-based solution that once it pulls in a file/message it immediately toss it over to the ESB.
You might use your Quartz-based solution to programmatically deactivate/activate the EPR.