I was fascinated by The Dan Plan. He went from having never played golf to a 3.1 handicap, but ultimately injury appears to have stopped him after ~6000 hours.
>On April 5th, 2010, Dan quit his day job as a commercial photographer and began The Dan Plan. Having never played 18 holes of golf in his life, Dan started the 10,000 hour journey with just a putter. After five months of putting, he received his second club, a pitching wedge. Just before the first anniversary of The Dan Plan dan took his first full-swing lesson. After 18 months he swung a driver for the first time. On December 28, 2011 he played his first full round with a full set of clubs. Since then it has been off to the races.
I have a friend who hardly ever plays, but still beats the snot out of me on the course. So in my humble opinion, trying to eliminate natural ability from the equation is misguided.
Going to the driving range and hitting a bucket of balls isn't as helpful if you don't know what you're doing wrong and how to fix it. You'll just keep doing the same wrong thing.
An example from my life being: I spent much of my youth "practicing" guitar (guided lessons, learning theory, improving my abilities in different techniques) while my peers simply "played" and the difference in our skill levels (from a purely technical perspective) was noticeable. However, I still never had a successful music career :) whereas I can think of at least one of my peers who "merely played" that's since made a living off their abilities.