There's not a lot to be determined from gross outward characteristics, unfortunately. It's a micro to mesoscopic (die-scale) effect, so depends on design (geometry and formulation of the transistor cells) as well as construction (their distribution, and the packaged die assembly).
If they don't give DC SOA, keep shopping.
You can test it and plot some points yourself, but expect to need more than a few spares to explore much area. For example, a while ago I tested a SiRF740 up to almost double its minimum Pd rating (worth checking, as old IRF740 datasheets claimed DC SOA (I think?) but don't anymore); not sure why they give such a wide range for RthJC, but it seems the minimum value actually applies. The die inside the failed part was pretty large, suggesting they never die-shrunk this old design; which explains the apparently conservative rating.
Amazingly, modern SJ MOSFETs (you can tell by the extremely steep drop in Coss vs. Vds at low voltage) typically have DC SOA ratings, despite world-record highest power density in class. Even more amazingly, some IGBTs are even getting DC ratings, and they seem to be serious -- this despite IGBTs having even higher power density than MOSFETs, plus even more thermally-unstable physics inside.
And it's the power density that matters -- the instability effect is always there, it's just a matter of whether it goes into runaway or not. There's always a threshold, power level and temperature, where it happens. When that threshold is beyond the package ratings, it's considered "free from 2nd breakdown". It's not really, but for any practical purpose, I mean, how are you gonna know?
So it's also common to see small devices (like TO-92s and SMTs) with DC SOA, without any obvious indication that the die is special. They simply can't dissipate enough power to get into the danger zone. Or fullpacks, which can carry quite large dies, but have poor dissipation ability due to the surrounding plastic case (TO-220s limited to about 30W).
Oh, and SJ and IGBT only apply at high voltages (>300V or so); lower voltages are handled by more conventional designs, and this is reflected by their differing Coss(Vds) and SOA curves. But lower voltages also mean lower power densities, so it's not hard to find full SOAs there.
Tim