Hmm! This could be done I think. You mean that you could set in menu / options if you'd want to level up manually or if it's automatic pop-up? Hmm. If manual, I guess you should be allowed to choose your own hotkey to level up, too. I'll ponder how to best make this happen.
In the meanwhile, there's now leaderboard available (refresh your browser tab if it doesn't show). On the leaderboard there is a link to a "black box" which tells you details of that particular run - what modules were chosen in which order and so on.
In the main menu it shows top3 runs on the difficulty setting you have currently selected. You can check top-10 in different difficulties, and all time bests (old versions) by clicking the leaderboard menu button.