Never been in that country. Look at Google Earth. Sheep/goat country is fairly easy to spot. Not a big fan of areas with lots of people. I would look for the trail heads that get you in 3-5 miles, and that get you into country that gives you a commanding view of the drainages. If there are a lot of bowls in the upper basins, look for ones that have knife rideges to break up the terrain. Gives the goats something to hide in, makes them feel comfortable. Don't just look for them on barren hill sides. Check areas with some timber, and the knife ridges.
Best adviceis get a comfortable butt pad, and sit down and glass. When you think you have done enough, do it all over again, and again. Good optics are a must, or at least the best you have access to. The Billies will still kinda be off on there own, or just out side the groups of the nannies, and kids.
When I get a chance I will down load some goat pics that I took on my NV deer hunt for some inspiration. Good luck and let me know how the hunt works out for ya.
Knowledge of the area is the best tool you can have. Put some Mole Skin on and wear some leather off the boots. For most that is a once in a lifetime tag.