You don't sign Kazmir or Zimmermann. A few options:
Buehrle accepts his QO
Anderson on a 1-year deal
Lackey or Iwakuma if you can convince them on a rich 2-year deal
Possibly Kennedy, Chen, or Samardzija if the market doesn't develop for them as they hope
You're not going to replace Price, but you should be able to get a nice rotation piece in the short-term without too much risk.