One of our next projects is supposed to be a MS Windows based game (written in C#, with a winform GUI and an integrated DirectX display-control) for a customer who wants to
Just an idea what if the 'cheater' runs your software in a virtual machine (like vmware) and makes screenshots of that window? I doubt you can defend against that.
You obviously can't defend against the 'analog gap', e.g. the cheater's system makes external screenshots with a high quality camera - I guess it's only a theoretical issue.
Maybe you should investigate chess sites. There is a lot of money in chess, they don't like bots either - maybe they have come up with a solution already.