I can't think of anything you'd need to worry about other than the gas stations being few and far between on 60.
In Socorro, when you hit California Street (main drag), turn right for a short (1/2 mile) jaunt to I-25. If you turn left you'll have to go through town to hit I-25.
Also, along the easy route, there's an easy-in, easy-out Chevron on the left side of the road with pumps parallel to the road. After you fill up you'll have to drive around the back of the building to get yourself back to the entrance to be able to turn left and continue your journey. The other entry/exit only allows you to turn right due to a median.
On an interesting side note, while verifying this I discovered the first case I've come across of the Google Street View vehicle stopping for gas (at this station).