Carbon steel flipper makes me immediately think of Direware, but if you're after something more compact and "table-friendly", as you put it, I would suggest a Kershaw Cryo or Leek - about 3" of steel on either, and they're slim enough not to immediately draw attention. Zero Tolerance 566 is coming soon and is a slightly larger option. Spyderco Domino is to be released later this year, too.
For something slightly prettier, that's still a fast-opening flipper, have a look at the Zero Tolerance 0801. It's pretty, but it's also very capable.
I don't entirely understand what you mean by "school", but I would check regs carefully before carrying on-site, especially if there's any risk of a fine/suspension/charges against you.
Hope this helps!