I bank with a credit union and I am happy with them, after years with a big bank that went bankrupt. I use a debit card instead of writing checks, but I do not "believe" in credit cards. IF you could find one at your terms, great! AFAIK, the "zero percent interest" ones are issued for transferred accounts, where you transfer your balance from another credit card - so the new card issuer has you by the balls for the rest of your life and rewards you by not having you pay for it for a year.
But if your new credit card is only for emergencies, why worry about the interest rate... I mean, you're not planning on using it, right? If you have no emergencies, you won't use the card, so there will be no interest to pay.
So while I'm reexamining your reasoning, what are these possible "emergencies" - hospitalization and automobile repairs/rentals? For the former, you really need health insurance, and for the latter, you can save enough money to cover what you might need. Other emergencies, such as no food or shelter, are best handled by having friends who can feed you or put you up in a pinch.