I'm not quite sure what just happened. I built a work .32 ohm quad-coil on an IGO-W. Using a Sony US18650VTC3 with 30A discharge, i test fired it several times no problem. Used cotton to wick it and juiced it up. I pressed the fire button and my mech immediately got crazy hot.
I'm glad you were not hurt, that can be dangerous! IMO the battery hard shorted. It's strange this happened after the successful test fire with no wick, but it wouldn't be the first time a short appeared suddenly, or was intermittent.
I quickly unscrewed the button and pulled the battery out. After I let it cool down I tested the voltage and it showed 2.23 volts and steadily dropped. My battery was freshly charged before the test fire, I checked for a short on the IGO-W but it still read a steady .32 ohm. What the heck happened?????
First the basics. As has already been pointed out, check the meter. Touch the probes together and it should read 0.0 ohms. If it reads 0.3 ohms you might be able to zero it out. If you can't, you need to subtract that number from the readings you take. Was the battery reasonably new and in good shape with no tears in the outer plastic sheathing? Did you buy it from a good supplier known to not sell counterfeits? Are you putting in the battery positive end first against the 510 connector?
Let's move on. IMO it was not the coils.
Have a look at the mod. Unfortunately you didn't say what mod you were using. If it has a bottom button, I doubt that is an issue. Check the continuity between the 510 connection center pin and the body of the mod from the top. There's a plastic insulator between that pin and the body which could be bad. If the mod has a floating center pin, also try testing with the pin pushed up and with it pushed down. There could also be a short caused by a small piece of metal in the assembly. Find a short there, you've found the problem. If your mod has a top button and you haven't found a problem yet, have a look at that too.
The IGO also has a center post, a plastic insulator around that and the body. IMO it's unlikely there is a problem there, but if you find nothing wrong with the mod, you can look at this the same way with the meter with no coils in it. Push sideways on the top end of the center post. It should not move at all and meter readings should not change and always show no continuity.
And like has already been said, don't use the mod or the IGO again until you find the problem for sure and fix it properly.
Hope this helps.