Best advice is to charge to 70-80%, unplug everything including any bms, then monitor voltage every two weeks or so with a regular voltmeter. Cool storage good, but not mandatory. Room temp is fine.
If you can't unplug the bms, store it full, and recharge it at least monthly, perhaps even every two weeks. When recharging, leave it on the charger for a day or two, or till you have a way to know all cells are full and balanced.
Rely on an alarm made from parts manufactured in china? NO WAY. Get off your ass twice a month, and take a peek at the voltage. There are cheap lvc alarms for lipo, some even adjustable. But they are pretty sketch. If an alarm goes off, and you don't hear it till later, did anybody hear it? Like the tree falling in the forest. So you wake up, and find you slept through your battery dying because you wouldn't do a simple check twice a month.
Best thing? install jst plugs on the battery so once in a while you can monitor the voltage of the packs individual cell voltages with a Cellog 8. Pack voltage dropping 3v may mean nothing much spread among 16 cells, or it may mean that one cell just died.
So if you just monitor pack voltage, I'd want to know what's up if it dropped more than a few volts in storage, once it had stabilized at the voltage you get after 24hrs after a full charge. (if you stored it full that is)