Can you weigh the resistor?
You would need to weigh the resistive material itself and even then you would be assuming it doesn't internally hotspot.
No, methods like this are completely unrealistic. Only the manufacturer has proper thermal modeling (or testing) of the properties where limiting factors are the survival of the resistive material itself (e.g., metalization, not the bulk ceramic), its thermal coupling to the bulk, and any hotspotting that might occur (e.g., in metal film due to zig-zag patterns or laser trimming, creating tiny spots that heat up faster). Mass and surface area of the full component (including the bulk body) are more important for average / continuous power rating, but not that meaningful for transient pulse rating, which the OP is interested about.
But really I don't see why OP is struggling so much finding the data. Nearly every decent power resistor datasheet has this curve set. If not, then, well, that resistor is not probably very suitable for pulse application. Using parametric search of Digikey et al, pulse withstand type can be found directly, narrowing down the search.