Luck v Strategy

So, I'm not starting a thread complaining about dice, since that's been done millions of times. What I want to know is this:
What is the CC setup that MINIMIZES luck and MAXIMIZES required strategy?
I prefer games with no cards, as that is obviously a big luck factor. What else can I do to minimize the role luck plays in my games? Are there particular maps that are less prone to lucky starts? Picking either chained or adjacent fortification stops people who get lucky in one part of the board from easily shoving all those armies across the map to get you elsewhere. Also, what about number of players? I've been trying to play lots of heads up games, hoping random clueless n00bs won't be able to mess up the map by playing randomly.
Any thoughts are welcome!!!
-snoop
What is the CC setup that MINIMIZES luck and MAXIMIZES required strategy?
I prefer games with no cards, as that is obviously a big luck factor. What else can I do to minimize the role luck plays in my games? Are there particular maps that are less prone to lucky starts? Picking either chained or adjacent fortification stops people who get lucky in one part of the board from easily shoving all those armies across the map to get you elsewhere. Also, what about number of players? I've been trying to play lots of heads up games, hoping random clueless n00bs won't be able to mess up the map by playing randomly.
Any thoughts are welcome!!!
-snoop