A few thoughts.
1) The first thing you should do is create an energy audit of your expected power needs. There are several on-line audit tools or you can use this:
https://diysolarforum.com/resources/system-energy-audit-and-sizing-spread-sheet.12/
The challenge you will have is that since you do not have the appliances, you can not measure the actual current or power draw. All you can do is look up the power rating for the device. This will *always* be higher than the actual usage so the number the spreadsheet gives you will be too high. You can probably get away with de-rating the specified power usage by 10% -15%.
Once you have the audit complete, you will have a reasonable ballpark of your needs and can plan from there. It will also allow you to do some 'what if' scenarios for different plans.
One great side benefit to the audit is that it will point out where your big usage is.... and that will be valuable to know when you are living there and trying to manage the power budget.
Note: I have a very similar situation with a hunting cabin in Montana.
- Stove, Hot Water and Refrigerator are on LP.
- Heat is with a wood fired stove
- Everything else is 120V AC (TV, lights, microwave, computer, etc)
The system uses 8 200Ah cells wired for 24 volts and it works well for me. Since you are charging via Generator, you may want to have more storage than that so you don't have to run the generator as often.
2) How cold does it get at the cabin? Northern NY sounds like it can get *very* cold so you have to worry about both charging temp and absolute temp. You will certainly need to have some type of insulated battery box and a warmer. At my cabin in MT, I completely disconnect the battery from the system and I unhook the BMS balance leads. (Absolutely no loads on the cells). Since LiFePO4 has a 2-3%/month self-discharge rate, they can sit like that for several months. Furthermore, I don't have to worry about a system failure of the trickle charger while I am not there.
With the cells completely disconnected, you only have to worry about storage temperature. I have researched this a lot and do not have a definitive answer, but it seems that storage down to -20C is OK. -20C is 'only' -4F so for storing the cells over the winter, I use the heater system I documented Here:
https://diysolarforum.com/resources/simple-indipendent-battery-box-heater.115/
Note: Make sure the battery box is well insulated and sealed up. I am talking something like R30 all the way around.
As an added precaution, I added two large freezer packs inside the insulated battery box. If the inside gets below freezing, the phase change energy release of the freezer blocks will hold the temp at freezing for a couple of days. (You can't charge, but the batteries are not getting colder either). The down side of this is that when the freezer blocks thaw out, they will absorb just as much energy so it will take longer to warm up.
BTW: Watch for videos from
@Will Prowse about cold charging. He recently bough a freezer and plans on testing some Winston cells that supposedly can handle cold charging better.