As of right now, it seems like most of the categories in this game require extreme luck and little skill to get a good time. The only exception is the "All Achievements" category. However, that category takes an extremely long time to complete.
I propose a medium-length category that will highlight player's skill ability while still requiring a fair bit of luck. The rules are simple: Complete 5 S-rank runs as quickly as possible.
This category is a compromise between skill, endurance, and luck. Top-tier runs will still require a great deal of good luck. However, it is probably too unfeasible to simply guess on every single neighbor and hope you miraculously guess right (as you can do with the game's current categories). The runner will also need to be quick at identifying dopplegangers, which will highlight the runner's skill.
There could be categories for 3 S-rank runs, 5 S-rank runs, or 10 S-rank runs. I think 3 leans heavier on luck-based, 5 is most balanced, and 10 leans heavier on skill / endurance.