I'm glad you are asking - and something tells you that the sober option is the way to go. You can - it took me a VERY long time and a lot of pain (to put it mildly, and not just for me) til I quit.
Ultimately? No cons. Sobriety - for me, I say recovery- has no downside and is not painful. Physically getting sober was, yes. But life itself - that can indeed be 'painful' in plenty of ways, but I found that the way to deal with that was sober. And every struggle or bad feeling, ache or pain (or back surgery, like recently for me) or fear or....is ultimately manageable.
I know the feeling of not wanting to live. I finally had to realize I didn't truly want to die.
If you can indeed go to rehab for a short time, even a month, then you would have the start of "mind clearing" from alcohol, body detoxing, and the start of a new life. If you CAN'T go (I couldn't) then you can still stop and do it all one min, one workday, one night, everything, as life is completely transformed.