LOL, the ubiquitous Rigol 1052E shows more noise than the amount that trace is deflected.
I'm trying to understand the problem now.
In terms of magnetism effects, you could try the trace at the top and bottom of the screen. There is more chance for magnetic field to impart nonsense with the trace up high.
As for degaussing wands, yep anything from the early 19th century would be as good as anything you'd buy these days, the technology is not that complex, just a winding activated by the mains to do as alluded to before, scramble the magnetic field.
It is important however to only release power from the wand when it is quite some distance from the CRO.
A you tube video of the CRO being degaussed whilst turned on would be much more worthy of distorted traces!