Hi
Ok, so basic troubleshooting. (Except it's anything but basic ...)
If there is voltage on the wire, an ohms check will be wrong. You can only read ohms with a multimeter if you check for volts first. Zero volts means you can go ahead and check for ohms.
Current checks are the easy way to look for stray loads. One lead of the multimeter goes on the + post of the battery. Everything is turned off and disconnected. Only one other wire goes to the second lead on the multimeter. If there is a circuit drawing current on that wire, you will get a reading. The current comes out of the + post on the battery, goes through the meter, goes through the load, goes to the shell of the trailer, and goes back through the big cable to the negative post on the battery. Any time you are doing current checks, be careful of burning out the meter. If you suspect a > 10A current (and your meter is rated to 10A) start with a light bulb.
Stray voltages are a different thing. In theory, with everything turned off and the battery disconnected, you should have no voltages (except on the + post of the battery). If you *do* get voltage readings, then something is still connected. It could be an "extra" battery buried somewhere. It could be the super capacitor on your sub-woffer. It could be a connection to your tow vehicle. There are (unfortunately) a lot of possible culprits.
Ohms checks are fine, but they are checking at low voltage. A load may or may not behave the same at 1V as it does at
12V. LED lights are one good example of this, there are lots of others. Bouncing ohms readings can mean a lot of things. Most often they mean you have an intermittent connection. A slowly rising ohms reading means you have a capacitor at the other end of the wire.
The "usual suspects" for leakage currents are things like lightbulbs in odd places, smoke alarms, carbon monoxide monitors, "damp chasers" (dehumidifier heaters), and on and on. The "divide up and run down" approach is the way to find them. Never assume there is only one single leaker. Also check your ground to make sure it's still attached. It's really embarrassing to go through a bunch of checks and then notice you pulled the negative off the battery. Don't ask how I know this
Bob