BM25 with query rewriting & expansion can do a lot of heavy lifting if you invest any time at all in configuring things to match your problem space. The article touches on FTS engines and hybrid approaches, but I would start there. Figure out where lexical techniques actually break down and then reach for the "semantic" technology. I'd argue that an LLM in front of a traditional lexical search engine (i.e., tool use) would generally be more powerful than a sloppy semantic vector space or a fine tuning job. It would also be significantly easier to trace and shape retrieval behavior.
Lucene is often all you need. They've recently added vector search capabilities if you think you really need some kind of hybrid abomination.