I started that way, but soon went the other route, due to the amount of time it took me to go back and edit all my mistakes.
At some point, I just began taking the time to correct my mistakes on the fly. Forcing myself to blind type, made it easier, as I could see the mistakes as they occurred.
It slowed me down considerably at first, but it helped train my eye/hand coordination to the point where I could type with my eyes closed, nearly flawlessly.
I learned to type on the old lever typewriters, with a bottle of white-out in front of me.........LOL!