The only other way to back up and transfer your save is to write down the Player ID that appears in the corner on the loading screen, then contact Jam City support on your new device with that ID so they can move your account. And since contacting support with a modded account is basically an instant ban... You're fucked.
Should've connected your account to Facebook when your first started playing. The option is there for a reason. The Pastebin guide I keep posting is only there to help players retrieve an account that's already connected to Facebook when transferring devices.
I'm also taking this opportunity at the top of the page to repost the warning about the upcoming Full Marks event:
For those who are unaware (and there are many of you), Full Marks is a multiplayer event. It is one of Jam City's only opportunities to scour the game for cheaters and ban them. Between June 3rd to June 9th, do NOT log into the game under any circumstances. Do not listen to the people who claim to keep playing during FM events, they're just the lucky few. If you or anyone else in your FM group gets reported, there is an increased risk that you will be banned. If you don't want to start a new save, then do not play the game at all between June 3rd and June 9th.