I had a problem with the dual (crt) monitor setup on my PC. The magnetic field from the monitors interfered with each other and caused weird patterns on the screen where they were closest. I put an old side panel from a PC case in between the monitors and the problem was solved. You could try that.
What I'd try would be to take the weight off the A1000, but keep the monitor in the same position. Say by using a "bridge" to support the monitor.
