If it's a problem with your drivers, and you can't update them, then your only hope would be to get new hardware
Not quite accurate. While it is true that if you can't update your drivers then you are stuck, there are ways to update your drivers in spite of what is allowed by the manufacturer.
Many people have had this same problem and have managed to use work arounds that allow them to install updated drivers that they otherwise were unable to install that corrected this problem. The instructions for doing this is in a thread somewhere on this forum and I am continuing to look for it, and will post a link to it here when I find it.
Note that this problem is the same as has been reported before, text from previous windows remains on the screen when it should not. It is in one of those threads that I expect to find the instructions that have been working for people with this problem. It is an older thread so it may take some time to find.
EDIT: I have not found the post I am looking for. What I remember is a problem with text being retained on a screen when it should have been removed, on a laptop with an integrated GPU (Intel?) and another GPU card (AMD?), a driver for which an update was available from the integrated CPU/GPU manufacturer (again Intel?) that refused to be updated, instructions someone posted for a safe way to uninstall the current driver so the newer driver could be installed without getting the rejection message, and the replies of success that this solved the problem. I think what I am running into is that the thread may have had a title that was not sufficiently descriptive of the problem.
If anyone here can find the correct thread, please post a link here.
EDIT2: OK. I found the thread I was looking for. Scan the whole thread and look at the link in reply #4. Scan this one as well. There is some information to be aware of. The steps needed are in the last three replies. Follow the steps carefully. Then let us know if it all works out.