Ah yes, the only way to do that is to get someone to install the exact copy of the game you have and give you a copy of the installed files. This has to be the same region of the game / same media id.
If your 360 can read the disc enough to recognise it then the game will allow you to play the installed copy from the hard drive.
I don't have that game unfortunately, it does appear to be very cheap on Ebay however.