Forget about Goodsprings. Go straight to hidden valley and beyond to Niel's shack, then by just entering the corner of Black Mountain you can get through a little ravine into the area south of New Vegas. You will have to do a bit of sneaking and fighting as you are going to be level 1, but it is possible to get through to Vegas without having to fight anything bigger than a Bark Scorpion. In the NV area visit the gun runners and the clinic to stock up on bullets, stimpaks etc trading stuff you have found on the way.
Go on to Jacobstown, again sneaking and scavanging opportunistic stuff. Once you get there, take the 2500 caps from Marcus and start a fight with the mercenaries. You should do this from afar and then run off to the sanctuary of Jacobstown while the muties and the mercs duke it out. If the battle goes the right way you can then scavange loads of loot from the corpses for plasma rifles, assault carbines, combat armour, really top stuff for so early in the game. I did this while still on level 2 and ended up disproportionately tough and rich, without having to do very much killing or dying.
Finding or instigating battles has always been an easy (and very satisfying) way to rake it in in the FO games, morally dubious though it may be. Does anyone know any other good opportunites for this (esp possible in the early game)?