Any time that you are going to be without a "charging solution", i.e., shore power, vehicle power (alternator) or standalone generator, for a week or more, you should use the battery disconnect switch to remove the battery from the system's connections. There are many devices that, although being "off", still draw power (televisions, stereos, microwave, etc., and there are some devices (your LP leak detector, for instance) that can't be turned "off" for safety reasons and will gradually drain even a couple of batteries.
You don't mention which model you have, but, most of the FunFinders come with a battery disconnect switch (you don't need to remove a fuse). This switch effectively removes the cables from your battery, using a push (off), pull (on) motion, isolating it from power drains. If you come back with your model number, maybe I or someone else can tell you the location of your switch.
Some of the FunFinders (based on year of manufacture or model number) may not have the switch, in which case, removal of the fuse from the green cable spliced into the positive battery post cable would be the best way to go.