Is this the route you want to take offline in Google Maps app:
How did I take it to Google Maps app? Well, I opened this question in Dolphin Browser and tapped the link you provided. It gave me
Share via.. pop-up from which I chose
To push links to Android device, you don't need to publish it on web. There are plenty of options available viz. AirDroid. You can use Gmail too. In Android device, just open that link in web browser.
Share via.. pop-up doesn't appear with your web browser, it means that its not tightly integrated with Android. I'd recommend you to use Dolphin Browser because I have tested it.
To make it offline, just hit
Options key & you'll find
Make available offline option...
To later use this map, just tap
Layers icon on top bar (on bottom bar in ICS) & choose the route:
Note: I've put screenshots from a Gingerbread device. My ICS device is currently not available. If you're running ICS or above, it'll be slightly different.