I think if I had to build an emergency LLM today, that had to run on modest hardware, I'd bet on Gemma 4 12B. It's got excellent reasoning and good vision/audio and speaks 140 languages.
But, I don't know about the "classic" knowledge base theory, though. Is there a high quality curated pile of survival information that could be bundled into a web UI and made searchable in a knowledge base? The LLMs aren't focused on that topic, so there's a lot of wasted space, but they know a little about a lot of things, including survival topics. Combined with Wikipedia, and maybe a few other sources, you're probably better off with one than without.
I guess one could use some huge models plus web search to compile/distill a focused survival knowledge base or LLM.
Edit: Project NOMAD seems to mostly be exactly that. It has authoritative sources in a searchable knowledge base and the tiny LLMs are an afterthought, which is probably what they should be. https://www.projectnomad.us/
This project at least attempts to ground its answers with (presumably) human-vetted sources. That will make it much, MUCH more accurate and truthful than a bare model. But there is still a non-zero chance for it to hallucinate answers, especially when posed a question that it doesn't have any source material in its database.
As for why bother hooking up an LLM instead of a simple search engine, search engines don't synthesize data from multiple sources into a coherent answer for you, but LLMs are (mostly) great at that.
That said, while I like this pattern (LLM + knowledge base) for lots of things, this isn't necessarily something I'd trust with my own (or my family's) survival.