You asked at the right place. Here is our own tjavery's tutorial on night photography. He is one of the best.
Thanks for mentioning it!
Although that guide has gotten stale, it's mostly still valid. I'm working on updating it... slowly... someday...

Here is some info I found a while back ago.
This tells you how long of an exposure you can do and at what focal length before you start to see star trails in the exposure.
Focal Length Seconds
10 ----------- 31.25
14 ----------- 22.32
18 ----------- 17.36
20 ----------- 15.63
24 ----------- 13.02
35 ----------- 8.93
50 ----------- 6.25
85 ----------- 3.68
100 ----------- 3.13
135 ----------- 2.31
200 ----------- 1.56
300 ----------- 1.04
400 ----------- 0.78
500 ----------- 0.63
Depends on your film or sensor size (physical size). Those times look about right for APS-C size (aka "cropped" sensor). I.e. they will do well for a D7000.
For full frame digital cameras, you can get away with a little longer exposures. There is the "500 Rule". Divide 500 by your focal length, and the result is the exposure time (in seconds) that will result in negligible star trails.
Location SuggestionsSotol Vista
Basin Road (pick one of the many pull-outs on the northern end of the road)
Fossil Bone Ridge
Cerro Castellan (or rather, the open area along Ross Maxwell near the peak)
just about any backcountry roadside campsite
Nearly all of the park is VERY dark. Just find a safe place to pull off the road and set up your tripod.
Your timing may be a little problematic, depending on your expectations. The good part of the Milky Way (the wide, detailed portion of the galactic center) won't be visible during dark hours roughly about that time.
Download the free program Stellarium to simulate the night sky for a given location and date. You can check it out for the dates that you plan on being there.
If you can wait, try mid Feb. The Milky Way rises in the east about 4:30am, and it will be sufficiently dark for another 2 hours or so.
