This is the post I was referring to. From what I understand if the house supply is noisy/dirty it will interfer with the unit also, if you remember turning on a blender and the TV screen getting snow you'll understand what I mean( I note one of SWMBO's electric massages does this) so a snubber across the supply may be required.
In the end if you have eliminated EMI from high voltage(240v) and eliminated electronic noise from pumps and input power, it would then have to be a issue with the solder joints(more likely) or software(possible not probable and a reflash should resolve). If you have access to one of those lit magnifying glasses on a stand grab it and go over all the LCD joints, perhaps even switch out the LCD.
ED further reflection has me wondering, you could try a computer psu as they are made to supply clean 12v your pentium is a lot more fickle a bout the juice it gets