ezo
Hero
I think you're ignoring how people would actually see Doug--the luckiest SOB that ever lived. He would be considered special, right?You're looking at as a player. You see the luck points.
The world sees Doug as a farmer who became a castle guard who has terrible fencing form and knows a few weak tricks from his allies that somehow kept him from dying hundred times over.
But when he squares up to an ogre, people say "This guy slew a vampire? THIS GUY?"
So, how is is class NOT special. You want to give them luck points, then that is what makes the class special.
A class that is NOT special cannot have anything beyond "more" of the basics IMO. They can get better at what they can do from the beginning, but that is it. Having "luck" would go past that as I see it.
And in the end, I'll ask again, what does the class look like, show me the class table, etc.