Just to say, this is still an ongoing problem with AMD drivers
. It isn't the drivers' fault so much as the fault of Mass Effect for not recognising or being thoroughly tested on them!
I am having the identical issue in the identical location. I admit my GPU is on the older side, but it's hefty - 2GB I believe (at least 1GB) with a quad-core 2.5GB processor along with it. To put it into perspective, I run Mass Effect 3 just fine..
Will be trying the fix in this thread myself and I'll post again if it doesn't work out!