I had the same problem. I found a way to do it, although it's rather intensive. You have to have access to a PC and a thumbdrive that you can use on the xbox.
1) Plug in the thumbdrive to the xbox360, turn on the console.
2) Log into the profile that has the game you want to transfer.
3) Copy the game(s) (through the system settings, memory, harddrive, games, skyrim, select the game, copy) to the thumbdrive.
4) Log into the profile that you want to copy the game TO.
5) From this profile, either copy a game (owned by this profile) to the thumbdrive, or start up skyrim and save a new game under this profile to the thumbdrive.
6) Turn off the console.
7) On the PC, download Modio (
http://www.game-tuts.com/community/modio.php ). Run it.
8) Plug in the thumbdrive from the xbox into your PC
9) In MOdio, click the "Explore a device"
10) IN the new window, there should be at least two directories that have a series of letters and numbers (something like E5234AF3234). These are the profile ID's. FIgure out which one is the profile you are copying from, and which is the one you are copying to (I used the names of the saved game files inside the directories to figure out which was which). Write down the profile ID for the profile you are copying the game to.
11) In the old profile, find the game file that you want to copy.
11) Right click on the file and click the "Open In Resigner".
12) Change the ProfileID to the profile id of the profile that you want to copy to.
13) Click the "Rehash and resign" button.
14) Memory is a little foggy, but there should be a "Save to device" or something similiar button. CLick it. It should show you a list of the profile ID's on the thumbdrive. Select the profile you want to copy the game to.
15) CLose the drive (File menu, "OPen/CLose drive")
16) Eject the thumbdrive, stick it back into your xbox.
Now if you turn on the console, go to system settings, memory, thumbdrive, games, skyrim, you should see the saved game with the new profile as the owner. You can either copy that to the harddrive, or just play the game off your thumbdrive.
Hope it works for you!
Scott