Inject a CDI managed bean into a class that is instantiated with 'new'

Issue

We are trying to inject a managed bean into a CallbackHandler which is being instantiated by the JBossWS framework. The Callback handler is defined in @EndpointConfig on our web service, so we don't have control over how it is created.

How can we inject CDI managed beans into it? eg:

public class KeystorePasswordCallback implements CallbackHandler {
   private Map<String, String> passwords = new HashMap<String, String>();

   @Inject
   private MyService service;

   public KeystorePasswordCallback() {
      passwords.put("alice", "password");
      passwords.put("bob", "password");
   }

   /**
    * It attempts to get the password from the private
    * alias/passwords map.
    */
   public void handle(Callback[] callbacks) throws IOException, UnsupportedCallbackException {
      for (int i = 0; i < callbacks.length; i++) {
         WSPasswordCallback pc = (WSPasswordCallback)callbacks[i];

         String pass = passwords.get(pc.getIdentifier());
         if (pass != null) {
            pc.setPassword(pass);
            return;
         }
      }

      service.postProcessing();     // NULL POINTER EXCEPTION HERE.
   }

   /**
    * Add an alias/password pair to the callback mechanism.
    */
   public void setAliasPassword(String alias, String password) {
      passwords.put(alias, password);
   }
}