Have you tried booting the install DVD on a different computer in order to verify that it is an issue with the GPU/Driver as opposed to an issue with the install medium?
If the problem is indeed a lack of out-of-the-box support for your graphics card, you may need to perform a installation in text-only mode. As far as I know, there is no "Alternate Installation" (i.e. text-only) .iso image of Edubuntu available to download, so if you have your heart set on upgrading from 11.10 to 12.04, I think your options are: 1) Start the update before you go to bed/work/wherever, so the time will not be an issue, or 2) perform a text-only installation of the standard Ubuntu desktop using the Alternate Install .iso here, then activate whatever drivers with which you are currently having success on 11.10, and proceed to essentially convert your new Ubuntu installation to Edubuntu with the very simple instructions here. The latter option would obviously take longer and be more of a hassle, though there are certainly positive things to be said about fresh installations as opposed to upgraded installations in most cases.