What’s the closest RAW build possible to the Grey Mouser in 5e? [on hold]

I am of course referring to the legendary figure of Fritz Lieber’s Lankhmar series (one of the things Gary Gygax said was his inspiration to invent D&D).

I am assuming this character is so off-the-hook awesome that I cannot see any way to make him using strictly RAW, but what’s the closest we can get?

Some things to keep in mind:

  • His acrobatics, stealth and persuasion are incredible (especially acrobatics)
  • His swordsmanship is fantastic, in a finesse-sort-of-way (rapier?), and when combined with a successful acrobatic move he can hit almost anything
  • He is devastating with a sling, e.g. can knock someone out or do great damage (a thing which seems outside the RAW in 5e)
  • He has a custom-made bodysuit that enhances stealth, and he is very hard to hit in melee (almost un-hittable!) despite that he has no armor or shield beyond this
  • He has some low-level arcane spellcasting abilities
  • While he is not immune to being charmed, he is fairly resistant to it

There may be other features I am overlooking from Lieber’s material, but those are the high points. What’s the closest you could come in RAW?