+1 to hating bloated drivers. And coding installer in .NET is never a good idea (even if it is easy), an installer should ideally work in generic Windows without any dependencies.
But these kind of artifacts sound like either something wrong with the clocks of that the card (even with two monitors) is running at the wrong speed. Defaults for 7750 with multi-monitor are 300/1125 (core/vram). I would suggest the OP monitors those clocks. Might be a case that the vram is too slow, or for some reason hardware acceleration for the browser is not working.
Really do feel that AMD need to work on their idle power usage. Actually all three (AMD, Nvidia, Intel) should work on it since the ideal thing would be something like ZeroCore kicking in when not using 3D programs or even better seamless switching to Intel or AMD onboard would be really nice. And if the dGPU could then enter the equivalent of AMD's ZeroCore (basically turn off and stop the fans), it would make a desktop a bit quieter which after all is one of the (admitably minor) reason for the decline of desktops vs laptops.