I was looking around the internet about what happens when a BMS system on a lithium battery shuts down (overheat, etc.) while the alternator is running. Not good. I suppose if it were a bank of lithium and only one BMS shut down it might not matter, but a few sites said to avoid the issue by putting a small lead acid battery in the lithium bank. That led me to this
video on mixing lithium with lead, although for a different purpose. The basic idea is to program an external alternator regulator (which I have) with an existing lead battery bank (which I have) that comes close to serving the house purposes (which mine does), but also benefit from the properties of lithium.
The basic idea is to get the lithium and lead batteries at the same level of charge (so that the lithium doesn't go crazy trying to charge the lead), and then set the external regulator to a "hybrid" setting to charge the batteries. Say a 200Ah lithium battery is added to a 520Ah lead bank. Once charged, the lithium would be at 13.2V and discharge about 80% at which point it would be at 12.6V. Then the lead batteries would kick in, keeping the lithium from fully discharging. The effect would be that one could get the full usable potential from the added lithium (180Ah). The lithium would cycle a lot (which it can handle), the lead would cycle less (which it likes).
There is a follow-up video talking about a potential product to increase the charging efficiency of a hybrid system, but I'm not sure that the tweaking is worth it. Lots to think about from the first video.