Clone WordPress for testing on localhost (with Fiddler)

I added this to Fiddler’s script in
%USER%\Documents\Fiddler2\Scripts\CustomRules.js under
OnBeforeResponse and the response rewrite started working

 static function OnBeforeResponse(oSession: Session) {
        if (m_Hide304s && oSession.responseCode == 304) {
            oSession["ui-hide"] = "true";
        }
        if (oSession.oResponse.headers.ExistsAndContains("Content-Type","text/html")){
            oSession.utilDecodeResponse();
            oSession.utilReplaceInResponse('127.0.0.3','my.domain.name');
            oSession.utilReplaceInResponse('http:','https:');
        }
    }

and needed to set

// define('WP_HOME','http://127.0.0.3/blog');
// define('WP_SITEURL','http://127.0.0.3/blog');
define('FORCE_SSL_LOGIN',false);
define('FORCE_SSL_ADMIN',false);

in wp-config.php

In order to be able to log in I also had to remove the plugin simple-google-recaptcha. There might be a way to set it up with reCAPTCHA not needing to be deactivated, but for now this is all I need.