The only real upsize that would work would be a 255/35 R20 and a 305/30 R20. Those would each be 2/10's of an inch bigger in over diameter over the stock setup. Anything wider would have to come down in profile. For instance, a 325/25 would be 6/10' of an inch smaller than stock. That is a decent amount of down-sizing. That tire would also need an 11 or 11.5" wheel to work well. 11" will easily fit the Emira, but you would have to check backspacing (brakes/suspension) to see if an 11.5" would work. My best guess is that it would, but you would need to be around +18mm poke from factory set and may need another degree of camber.
This is ALL assuming you are sticking with a 20" wheel.
I am contemplating having a set built as such:
20x9 et50 with 255/35 R20 Tires
20x11 et45 with 305/30 R20 Tires
Mr. Wolfe