What can you tell me about my converter/charger?

I have some concern because I know that the RV forced air furnace takes ~11 to 13 amps to run, and I imagine when camping in a HTT in the Canadian Rockies, where it can get to the single digit temps (Celcius) or into the 30s F, the furnace will run quite a bit. I'll check for the phone jack hole on it, and if it has that I will buy the gizmo that allows for better charging.

Other than that, I will take along my multi-meter and take a few readings. In my previous RVs, I could usually tell the condition of the battery when I woke up and heard the speed of the furnace fan LOL.

No matter what is said...

No matter what is read...

The end result is not predictable. To do whatever it takes to get charging voltage as high as is limited, is to do all that you can.

Go camping.

Note deficiencies. Return then deal with your style of camping.

Do this. Buy a GOOD hand held digital multi meter and take it along. As things happen, takes notes. Voltage readings. Forget everything else except generator run time.

You leave with a full battery.

You rise and shine the first boondock morning. What is the battery voltage? Write it down.

You run the generator for whatever time you think is best then shut it off. What is the battery voltage at point of generator shutdown?

Resume camping.

An hour later take another battery voltage reading. Write it down.

The next morning, take another voltage reading after breakfast.

If the battery gets too discharged, you'll be the first to know. You will be starting the generator to recharge. Note the voltage and the total run time to do your best guess to recharge.

Return home with all the notes. Post them. They are vital meaning indispensable clues. They reveal exactly any weak points in system design and configuration (and generator operation).

I refer to this as basis system status. From this point you can plan and build. Or not.

I think the set voltage is 14.4
You are unlikely to boil the battery
Recharge time will depend on how much power you use
When the generator is off
One of the $30 eBay amp meters is a good idea, to install to monitor the recharge amps

Phone jack? Get the IQ controller. Excellent converter.

No phone jack as many OEM's are? :( just a 13.6v fixed power supply. Actually I have read where these can be modified to add the jack. Need to contact IOTA and have some electronics skill.

Look for a phone type jack socket. If it has one, you can plug in the jack that comes with that IOTA to make it go to a higher charging voltage (but still in the low 14s) To go back to 13.6, remove the jack. Or you can get the IQ4 to plug in there, which makes it a typical three-stage converter. (Recommended)

Without the jack, it is just a single stage 13.6v converter and will be very slow to do a recharge (which is not good when using a generator)

Some Jayco RVs with IOTAs back when, did not have the jack at all and were straight 13.6v.