Ryan, although I’ve never done the loop, I live nearby and hike in McInnis Canyons frequently. March is a sketchy time to hike there. The weather might be perfect, with warm sunny days and dry ground, or you might hit snow, rain, and mud, or any combination thereof. Something to keep in mind though is that there are seasonal road closures in the area. Best to check the BLM website. I don’t hike with a dog, but I’ve seen folks take their dogs into some pretty exposed places. Is your dog small enough to carry?