Settings Router Refactor: Migrate to settings.Route.navigateTo calls.

chrome/browser/resources/settings/printing_page/printing_page.js

 // Copyright 2016 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 Polymer({
   is: 'settings-printing-page',
 
   properties: {
     /** Preferences state. */
     prefs: {
       type: Object,
       notify: true,
     },
 
     /** The current active route. */
     currentRoute: {
       type: Object,
       notify: true,
     },
   },
 
 <if expr="chromeos">
   /** @private */
   onTapCupsPrinters_: function() {
-    this.$.pages.setSubpageChain(['cups-printers']);
+    settings.navigateTo(settings.Route.CUPS_PRINTERS);
   },
 </if>
 
   /** @private */
   onTapCloudPrinters_: function() {
-    this.$.pages.setSubpageChain(['cloud-printers']);
+    settings.navigateTo(settings.Route.CLOUD_PRINTERS);
   },
 });