AngularJS - ng-bind-html-unsafe and ng-model Problems

I have the following line in my html:

<div ng-bind-html-unsafe="departmentConfig" class="control-group"></div>

and I use a $resource get to retrieve the HTML, assign the HTML to $scope.departmentConfig, and then the view is updated perfectly. The HTML that is assigned to $scope.departmentConfig contains form elements, with ng-model attributes in it, but when I change the values in these input elements, they don't update the $scope model at all.

This is what I have tried, based on a lot of other internet posts, and it isn't working:

$resource('resources/sources/departments/:mappedName', {
        mappedName:departmentKey
    }).get(function(departmentConfig) {
        // This will call another function that will build a chunk of HTML
        $scope.departmentConfig = $scope.buildDepartmentConfigHtml(departmentConfig);
        // This is my feeble attempt to access the element, and bootstrap it to include the items in the $scope model.
        var $departmentConfigContainer = $('#departmentConfig');
        angular.bootstrap($departmentConfigContainer, ['sourcemanager']);

I have even seen some jsFiddle examples where this appears to be working, but mine isn't. Am I calling bootstrap too soon? I also tried putting a $watch on $scope.departmentConfig like this:

$scope.$watch('departmentConfig', function() {
    var $departmentConfigContainer = $('#departmentConfig');
    angular.bootstrap($departmentConfigContainer);
});

but it didn't work either. I bet there is an easy explanation to this, I just can't seem to get the input elements with ng-model that are loaded after page compile to get bound to the model. Any help is appreciated, this is the last piece of functionality I need to get working on my page. Let me know if you need more information about my configuration as well.

So, simply put, how can I force a section of the DOM to recompile after I know it has been loaded?

UPDATE

Here is a jsfiddle outlining what I would like to do: http://jsfiddle.net/j_snyder/ctyfg/. You will notice that property two and three don't update the model, and I am calling bootstrap on the outer div, hoping that will include those in the model binding. This is the first time I have posted to jsfiddle, please let me know if you can't see the example.