In my motorhome, I installed a "E-Meter" and it shows the amp draw all the time. Basically the CO meter, propane detector and refrigerator draw about 1.2 amps 24/7. This adds up to about 35 amp hours per day, and that is about what one of my 120 watt solar panels will put out in a normal day.
I would suggest a larger solar panel.
SunElec.comOf course your battery is being charged in the daylight, thus a slightly higher voltage than at night.
My guess is you will be really happy with a 100 - 150 watt solar panel. If you get a 12 volt panel, then the controller you have will work with it. It can handle a 100 watt panel.
The 15 watt panel can not overcharge a decent size battery bank, so you can leave it connected all the time. The main charge controller will probably turn on each morning, and shut off by around 9 am when the battery voltage goes over 13.4 volts. Then the 15 watt will keep charging all day long, and the main controller might only come on once in a while for say 10 minutes to bring it back up to 13.4 volts again.
While camping then the controller will keep the 100 watt panel on all day long, and the CO meter, refrigerator and propane leak detector will be consuming the power just about as fast as it is made.
You will be able to dry camp in silence, and save $10 or more per night over full hookup campgrounds, many times in a area that has much better views too! I figure that I paid for my $3,000 solar system many times over by saving $10 a night for 300 nights. Back in the 90's a 45 watt panel was over $350, while in 1997 a 75W was on sale for $375. Then in 1999, I bought the pair of 120W for $429 each. Now you can buy a 120 watt for less than $150!
Fred.