Hi Blueeyes!
Speedrun.com doesn't seem to support score-based leaderboards, only time-based ones (though it's possible to create a reversed time leaderboard, i.e. whoever has the longest time wins, usually for some kind of survival mode).
Also, the length of a day increases as you play, so there is no way such a category can accomodate different day lengths of different players.
Hmm, I have an idea. Fastest time to make a certain number of fully correct sandwiches (and feed it to the guy on the left). There can be two categories, no upgrades (on a fresh save file) or all upgrades (on a completed save file).
edit: tried to get 24 sandwiches without upgrades, got 2:34 on mobile. This practically means i gotta bring the goal down numbers down, probably to 12, so that a reasonable below-average runner can get within 2:30 on PC, so that they can start the run on day 2 without having to burn many days.