Ned,
Sounds like we're missing some notification from WinNT/WinCE...
To me, it sounds as if MS should get its act together. If it doesn't send a notification to the window that's been woken up after a sleep to redraw itself, what do you expect Squeak to do?! If it isn't capable of getting the network connections back up what do you expect Squeak to do?! Test on each every access if the connection is still there and if not try to restart Windows?! (hey, now that's an idea ;-)))
Cheers, - Andreas