If you're that close to critical, it's likely you relieving pressure is above critical. In cases like this it's unlikely the safety valve is going to be of any real value at all in protecting from fire exposure.
My advice is to acknowledge that fact and focus your attention (and the client's too) on protective measures that are effective (water spray, fire resistant insulation, auto-depressurization).
It's a waste of time and money to proceed with a sizing calculation for a scenario in which the PSV isn't effective. And worse, this misleads the client into a false sense of security. The client needs to be clearly aware whenever the PSV isn't effective at protecting against fire exposure. If there's nothing boiling inside the vessel, then the PSV isn't providing any protection from fire exposure.
You have to have a PSV for code compliance, but it's entirely up to the users to choose a sizing basis. There are no pressure vessel codes that require you to size for fire exposure. That's a user decision. Unfortunately, a lot of engineers don't understand this and they proceed with designing relief devices that won't work, rather than considering other layers of protection that are effective. Those measures don't completely solve the problem. That is, they don't render the vessel completely safe, but they do buy some valuable time, and reduce the severity of a failure if it does eventually occur.
BTW, we often overlook this fact, but PSVs don't provide complete protection either, even when there's a boiling liquid.