Watch out for questions like that last one, you might get blind-sided.
Not trying to be mean but in case you aren't aware, YOU are the driver. Only you can assess your problem and determine where you are going. Hopefully, it is to a safe place. If you are uncomfortable with making the drive alone, request the assistance of fellow co-workers such as might be done during a Process Hazard Analysis (HAZOP, etc) or retain a consultant to do the work.
I agree with pleckner's comments and you seem to have the same idea about discounting fire as being unlikely but you seem unsure about it because you can't find it in a code.
Generally, the codes, standards or practices are not going to tell you what the hazards are in you system, you have to determine that yourself. Though language such as that in NFPA 30 helps to assess the hazards. Similar guidance can be found in API Recommended Practice 521 but that usually applies to pressure vessels. You may also want to check some of the AIChE publications for process safety or relief system design. OSHA 1910.106 covers flammable and combustible liquids but I think it is more a compilation of the earlier established codes, standards and practices.
It will be important to establish to which standard or code that your equipment was constructed. That info certainly will be needed in sizing your relief or vent system to allowable criteria (vessel pressure accumulation) no matter what the overpressure case is. What kind of vessel is it? Flat bottom vertical storage tank with a fixed roof, horizontal cylinder with dished heads? Fabricated from steel, fiberglass (RTP), other?
Just for info, here are a couple of excerpts that may help to ease your mind. Though it sounds like ASME Sec VIII wouldn't apply, from UG-125 (c)(2) Where an additional hazard can be created by exposure of a pressure vessel to fire ...
Obviously, if there is no chance for a fire, you can't create a hazard. In other words, you can't evaluate the pressurization effects of a fire if you can't have a fire.
NFPA 30 Flammable and Combustible Liquids Code
2.2.5.2 Emergency Relief Venting for Fire Exposure for Aboveground Tanks.
Exception: Tanks storing Class IIIB liquids that are larger than 285 bbl (45,306 L) capacity and are not within the diked area or the drainage path of tanks storing Class I or Class II liquids do not need to meet this requirement.
Though you say NFPA doesn't apply, I would point out that the emergency venting tables in API 2000 are based on NFPA documents. NFPA are well established guidelines for fire protection issues. Even if you are dealing with a storage tank for acid or caustic, it is not unusual to spec an API tank in which you would follow API 2000 for venting requirements. If your vessel contains water you may want to look at some of the AWWA standards (D100) to see if anything there would apply.