It's good that you are asking about safety and batteries, and you've gotten tons of useful information, I hope you find it useful.
I will just add, regardless of how HIGH your mod can go, are you satisfied with your current vape? Because, getting the highest amp batteries to try and go to 120 watts, you may not enjoy the vape, and your run time will suffer.
I'm a MTL vaper (meaning low wattage). For me, that means putting in the HIGHEST available mAh battery just decreases my run time. It's one or the other. So, if you've found a satisfactory vape, match your batteries to your habitual wattage. If you do that, you won't strain the batteries and you will have more run time.
Should you decide high wattage is for you, great, and there is no reason not to experiment with going higher. However, if you find a better vape a lower wattages, matching your batteries to yoru wattage is, over the long term, going to give you the best battery life. The higher wattage you run, the more you sacrifice run time. Etc.
Best of luck,
Anna