Polka, since you're new to the area, you have to try Rocky Gap. Every local has to give it a try. Here are the coordinates to the Red Rock Canyon scenic loop. $5 entry.
36° 7'54.32"N 115°25'17.43"W
Here are the coordinates to the offroad area, Rocky Gap:
36° 9'41.86"N 115°29'57.44"W
That trail will take you almost to Parhump if you want, but after the summit is when it gets difficult. You'll need good clearance or a good spotter. I usually just go to the summit and turn around. You'll have a good chance of seeing big horn sheep in the area. I always see them when the temps drop and they start moving lower down the mountains.
Rocky Gap has some of the best local offroad views. I use it as a baseline for trails. When someone asks me about the difficulty of a trail, I ask them if they've been on Rocky Gap. If they have, I'll make comparisons to sections of Rocky Gap.