Hey, I lended up installing the 1060 3gb, with 16gb of RAM aswell, I bought a killawatt meter to read my output. After installing and running stress tests. My computer never ran above 176w to the wall!
With that being said, you DO NOT need to upgrade PSU. The 240W is enough power for 16gb of ram and the 1060. So if say pull the trigger and get yourself the 1060 3gb.