already very good advice here, but ill add my 2c...
one can do a nice hike from either Jack's Creek or from the Ski Basin and head towards Truchas Lakes, I think all told the Jacks loop would be shorter, but I dont know for sure. Trailriders wall is indeed spectacular, but of course weather risk. The Pecos has lots of good dispersed options, and I've also never really had issues with water there. The sheep at Truchas lakes are, shall we say, gregarious...one place i wanted to get to, but never did, was Jose Vigil lake. I think there is a trail to it.
If you start from the Ski Basin, if there is high snow, the biggest issue you might have is the pass at Santa Fe Baldy. The trail is steep for just a brief moment, but a cornice can hang out there for a quite a while. people do manage it though. The Ski Basin area is really really nice in my opinion. A little busier, but once you pass the turnoff to Katherine lake the people will be minimal.
I think from Jack's creek, the snow issue could be just at the beginning of the trail. It begins with quite a few switchbacks in a steep stand of trees. That being said, I wouldn't expect it to be a problem if the gate is open. One can hike from Jack's to Truchas in a day, but there are many nice places to camp along the way. I don't think you can camp directly under Pecos Baldy, but there are nice sites on the trails just below the climb to the lake.
If you want to camp on the Hyde Park road, Black Canyon is a nice FS campground, and has room for RVs if i remember correctly. Big Tesuque CG is only suitable for cars, but there is a nice trail that goes up high to the weather station. Hyde Memorial State park is also nice. The day hiking on the lower Hyde Park Road is really nice. Starting from the Chamisa Trail there are very nice loops into Bear Wallow etc. You can connect with the Dale Ball trail system as well.
I'm not in the area anymore, so my memory may be foggy, and I'd happily be corrected.