» Fri Jun 15, 2012 10:16 pm
Downloading something from Xbox Live for the first time also downloads a unique "license" for that content, for that Xbox. If you are going to download the beta, I would suggest downloading it on your own Xbox. Downloading it on another, even with your profile, will download the license to that Xbox. When you redownloaded it to your own Xbox, you would only be able to play it with your profile, and only while connected to Xbox Live, unless you did a license transfer, which you can only do a limited number of times per year. It's meant to stop people from giving their friends unlimited free content.
But to answer your question, yes, you would be able to move your save to cloud storage and play it on another Xbox, but as I said, when you redownloaded it for your home Xbox, you would only be able to play it with your profile, and only while connected to Live. As long as you are ok with doing a license transfer though, you should have no problems.
Details on license transfers can be found here. It's not very diffficult.
http://support.xbox.com/en-US/xbox-live/marketplace-and-purchasing/download-content
All in all though, it would be much simpler to just take your Xbox with you wherever you plan on going. Or wait until you get back to download it.