It is not possible to pass query string value using the sling model to another page, you can use the below code.
response.sendRedirect(redirect_URL + "?cased=" + cased);
in the redirected page you need to read the query string value for this, you can create a sling model class in the post construct method of sling model you can read the query string value and assign it to the property.
In the redirected page where you want to render cased, you need to create an object for the sling model and display cased value.
you can also use Jquery to read query string value and render on the page, it is up to your comfort level
Instead of passing via the query string, you can also follow another approach which is storing cased value in the browser cookie and read either in the sling model or in javascript and display on the redirected page.