The hacky way: set the appearance back to the default white, present the modal, set the appearance to styled when the modal returns.
Or, reverse your thinking. Leave the global appearance as the default. Then you can selectively apply the styled nav bar where appropriate.
If "where appropriate" ends up being 90% of the app, just set up a thin subclass of UIViewController (or whatever view controller you use a lot) and that use that where you want the appearance.
[[UINavigationBar appearanceWhenContainedIn:[MyStyledViewController class], nil]
setBarTintColor:[UIColor colorWithRed:54./255 green:165./255 blue:53./255 alpha:1]];
And in each .h file, set your view controller superclass to MyStyledViewController
rather than plain old UIViewController
.