If you use a contoured keyboard, like, for instance, the Kinesis Advantage keyboard, it is easier to type blind, since it is much easier to feel where your hands are on the keyboard if it isn't flat. After a couple of days I was typing considerably faster than on a normal keyboard. And there is also a version switchable to Dvorak layout, though I never bothered to try that.
About blind typing: in my experience, knowing where your hands are is the important and difficult thing in blind typing - and after years of keyboard use you know very well where the common keys are. So just concentrating every once in a while to have your hands in the proper position for blind typing, and to type the keys with the right finger will get you into blind typing in a couple of months without any additional exercise.
(source: kinesis-ergo.com)