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A few things:
Lithium Ion is not the same as LiFePO4, the latter being far more stable.
Li batteries have far better cca than lead acid.
Li batteries might need a warming feature when in cold climates.
AGM might be a good compromise, both in price and cold weather operating.
Li cells are 3.4-3.7V, so 4 in series should get you proper voltage for a car.
Most deep-cycle lead acid batteries are only 60-80 Ah.
Lead acid (even deep cycle) shouldn't be drained more than 50% depth of discharge.
Li batteries can safely be drained up to 70-80% depth of discharge.
Li batteries should be kept in a hard container so they don't deform during charging.
A BMS for a 4-cell Li battery is a waste, in my opinion.
If you're worried about killing the battery, just get the 10V low voltage disconnect.
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