Preppy - as a pilot you would have far, far more clout than anyone in ATC in achieving your suggestion. We moaned for years and years when I used to work 119.9 at LHR because of QRM from Cork and Beauvais but we were always told that if pilots simply followed the correct procedures we wouldn't experience QRM. Of course, they were right! Maybe it's changed now; I don't know.
You're right - I don't know much about how the glass cockpit brigade function... but in view of a) your problems and b) ours may I politely suggest that YOUR procedures are reviewed so that the ATIS is checked much closer to the destionation?