I'm in recovery from alcoholism so I can relate.
Personally I found volunteer work to be helpful as it gave me a routine, a reason not to drink on the days I was volunteering, and a sense of accomplishment.
But I wouldn't do it super early in recovery, particularly if you're feeling shaky. I'd suggest waiting until you've been sober at least 30 days or maybe even 90 to be sure you can stay sober before going back.
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"I danced in the morning when the world was begun. I danced in the moon and the stars and the sun". From my favourite hymn.
"If you see the wonder in a fairy tale, you can take the future even if you fail." Abba