Is this a liquid filled vessel? In other words, is liquid LPG entering the relief valve?
If this is an LPG drum, and only LPG vapor is entering the relief valve, then there's an easy way to do this hazard analysis. If this is a pop-acting safety valve, and the discharge is pointed upward into an open area, then there's no significant risk of creating an explosive gas cloud. That's because the jet velocity naturally induces large amounts of air into the flammable vapor, diluting it below the lower flammability limit (LFL). Regardless of the temperature or mass-flow, a dispersion analysis will reveal a predictable pattern to the flammable gas cloud. That flammable cloud is very narrow, and the height is a function of release rate. The concentration below the release point is well below the LFL. I have done a number of rigorous gas dispersion analyses and I haven't seen any cases in which a vapor cloud explosion cound be created due to the release of flammable vapor from a pop-acting PSV.
This is the basis for equation 22 in API 521. Do this simple calculation to document your analysis.
Note that this is only for flammable vapor releases - not liquid releases.