I’d recommend that you go with something in the gruyere family (you’ll see it sold as gruyere, Beaufort, or Fribourg) . It’s pretty easy to find good gruyeres in the States because they travel well. They’re also easy to deal with in a party setting because they’re easily cut into slices or cubes that can by served without mess. The taste is rich and nutty/fruity, mild enough to not offend anyone, and goes well with a wide variety of wines, red and white. It would also go very well with your prosciutto and figs.