And which businesses to picket.
Given that quite a few Fortune 500 companies are queer-friendly, though, I'm sure Arizona will have a difficult time turning away companies like Starbucks, Target, and Walmart (yes, Walmart!) who all have supported same sex marriage rights and benefits for their employees.
Like others have stated, I believe this will be short-lived. Either it will be defeated in the Supreme Court, or the state will realize how futile it is to continue pandering to archaic and bigoted views on homosexuality as Chic-Fil-A did.