Yep, your reason to pack one along should have been stated for any suggestion that has merit.
Sans that I can only state my take on these two choices, which of them I'd pick and why.
IMO neither are really up to the task of decisive self protection in today's drug/alcohol supercharged world against men, nor for protection against anything you "think" might want to eat you. Being trail wise goes a long ways in keeping you out of trouble with both. What you need protection from is your own fears more than what you might encounter, and that comes from experience on the trail.
I won't bore you with too many details of my long experience hiking the back country alone for decades, the later years with my wife and son in tow. I never felt the need for protection against problematic men on the trail, rarely ever came up, and the few that did they were diffused without a firearm involved. I packed 45 Colts and 44MAGS for "protection" from grizzlies for years when my wife and son were in tow, and they turned out to be just heavy excess baggage. Even they wouldn't have stopped a determine grizzly in an in your face encounter anyway. But I never had to use them despite many, many close encounters with grizzlies over the years, more than my share up close and personal, some with my family so at risk that I got between them and the bear to give them a better chance. But having learned to understand them and their ways from my kid days growing up in that area of the country, they always accepted being reasoned with to diffuse the situation, let my family back out of it and then me shortly after. Those were the years before I was sold on pepper spray as the best "last resort" choice for protection. Sure would have been a lot easier to carry in those tall mountains, AND more effective.
A stick or hiking staff is good enough to deter snakes, or just side stepping them. You're a visitor on their turf, they don't need to be killed, same as the bears.
Makes the snubbie the least desireable to me, the Single Six the better choice for harvesting cook pot fodder or to plink with if wanted. But only you know why you feel the need to pack, what will give you the confidence to get the most enjoyment from your time in the outdoors. And that will make it the right choice for you.
My opinions and what worked for me and my family, YMMV.