My charge voltage is rated at 14.6V, but I agree the manufacturer might be overoptimistic. They specifically said charging off an alternator was not a problem. Of course I really don't know what they have going on in the BMS. They sell alot of units for motorcycles which have the same charging system - so I hope it's programmed well.
I wonder if there is a programmable charge controller that could be run off the vehicle charging system?
Your Stark battery is a self contained unit so it's hard to tell what BMS functions are built in. I would guess, if sold as a drop in unit, it should handle most situations. I looked at the website to see if I could get more information but a technical manual is not there. Might pay some dividends to call and ask if "Maximum Charge Voltage Disconnect" and "Low Voltage Load Disconnect" are built in functions. If so, what are the range of voltages.
As for a programmable charge controller, they do exist as DC-DC charge devices. These are designed to limit the current flow to "X" at a set voltage but the problem is that most of those are designed for lead acid batteries going through bulk, absorption, float, equalization, which a Lithium doesn't need. Some allow a limited amount of program options that allow voltage set points that might work. Here's one made by Xantrex.