If you are doing hot process you can cook it as high as 200 or more. If it volcanoes or boils, its too hot. the volcano-ing and boiling means its overheated. Its not really an exact science... it goes through stages, light trace, med trace, thick trace, then it will seem to become more fluid and separate, bring it back together with the stick blender (if it won't come back together its too hot), then it will become translucent like vaseline, zap test and its done!
If you hot process it at a low temp like 150/160 it might not even separate at all and go straight from thick trace to gel.
I don't know anything about making transparent soap other than it uses spirits and alcohols boil off at low temps like 181 degrees. Regular HP soap can be cooked at over 200 if you wanted. I measured my HP soap at 240 once.
110 degrees isn't hot process, thats a basic CP temperature.