I always put luck at 1, never found it useful on the whole and it never kept me down. Allowed me to put more points into Strength and Endurance.
Always got Fast Shot and Small Frame.
Skill focus was sneak, energy weapons, and steal.
Rob every person you meet. I mean everyone, you can roam outside your vault for a caravan. Make sure to save. Rob everyone of their gun, ammo, and their granola bars. I don't care what they have, I'm taking it.
Once you get to Hub City (after robbing everyone along the way), go to the library and sell everything for books (most notably Small Guns). Rob her of books and of your stuff back and resell it for more books. Do this until books are useless. Rob her again and sell what you have for a Sniper rifle and as much ammo as you can carry. If you don't have enough cash or stuff to exchange, rob people!
You should be about lvl 3 by now, getting most of your xp from stealing out of peoples pants. Go to the Boneyard and kill every Deathclaw, leave the sector of Deathclaws wait 1hr, rinse and repeat. Do this until you hit lvl 10 (or you get bored). Get rope, RadX and do the BoS quest. Become a member, rescue the BoS guy (you should have combat armour already). After rescuing the BoS member you get free power armour.
Go to Boneyard (and pick up a plasma rifle, you did spend you skill points on energy weapons correct?), have the plasma rifle and power armour upgraded (will need books and other materials for this, get what the scientist needs).
Congrats, you're now a nigh unkillable death machine able to shoot plasma shots (no aiming at body parts) with just 2 ap. Gun down those muties all day long.
Beat the game in the course of about 3 - 5 hours this way. Fun run.