The vast majority of travel trailers sold are not configured with boondocking in mind. When you talk about the trailer being an hour north, you go there on the weekends, and you have another building which has no power, it sounds like you are boondocking
The 12V system in most trailers is designed to support an overnight stop, or maybe a weekend, if it's not too cold and you are frugal with your use of 12V. Based on the smallish size of your trailer, I'd expect it likely came with a single Group 24 battery that probably has a 70-75ah rating, giving you roughly 36ah to work with, if the battery starts out FULLY charged and you haven't degraded the battery by dropping below 50% too often. Trailers rarely come with a good shunt-based battery monitor to allow you to know when the battery is truly fully charged, or when you are approaching the 50% mark where battery health starts to be affected. From the description in the manual, it sounds like Jayco used variety of converters, one of which was the Progressive Dynamics 92xx series. Since your trailer is on the small side, it would likely have come with a relatively low amp converter, so there is a low likelihood that you are reaching a full charge using the generator, unless you are running it most of the day.
You don't mention solar, but since you are asking questions here, I suspect it is part of the plan.