If you only need your CSS to be applied to one specific view, I'm using this handy snippet inside my controller:
$("body").addClass("mystate");
$scope.$on("$destroy", function() {
$("body").removeClass("mystate");
});
This will add a class to my body
tag when the state loads, and remove it when the state is destroyed (i.e. someone changes pages). This solves my related problem of only needing CSS to be applied to one state in my application.