Scouting out potential challenges

Well, I finally completed the game earlier today, and I've been thinking about challenges that might be possible to complete. The obvious ones would be No License Board and No Level Up. These are the only ones that I've thought of that are attractive enough for me to try out at the time being, although they both seem like they would be impossible upon actually thinking about them.

I went ahead and tested the waters a little on the No Level Up challenge and I managed to get to the Barheim Passage where I've run into the problem of being forced to kill battery mimics for energy enough to open the central gate, netting you EXP and thus, bothersome levels.

If anyone else has completed the game, or just want to test the waters on some challenges, post your thoughts/experiences here. Remember, the No Spoiler law is still being enforced, so mark them if you post them.