Raz, the problem with your idea is twofold:
1. the edges of the burned area are often indistinct. Shadow mask monitors spray electrons pretty willy-nilly, and as components fail over time what was a static image tends to drift.
2. burn-in isn't evenly distributed. A static mutli-colour or greyscale image will create different levels of burn-in. You can carve a greyscale picture into a tube this way. This combined with things like alternating images (game/over alternating in the same space for example) create different 'shades' and a mask would have to be pretty sophisticated.
As for burn-in in general (not directed at Razoola)... A used replacement 19" monitor from a dealer was $100 USD last time I checked. If you can't afford that you prolly shouldn't have gotten into arcades anyway. =D