Method 22LR pistol?

[Blizzard]

I'm aware that small caliber ammunition has a chance to fail, but the only weapon I have access to is a .22LR single action revolver. I've explored other methods like hanging, or the exit bag, but it seems like the pistol would be easier. The idea of it not doing the job is what scares me. Curious to get some input on this. I'm not able to obtain any other firearms at the moment, otherwise I would definitely go for a larger caliber. I've seen stories where a .22 worked just fine. Then, of course, there are the ones that just landed in the hospital.