The Shure SM58 is a vocal mic for stage us use close up by singers who know how to use it. It is not well suited to any other purpose. The same applies to look-alike imitations.

It's a horrid mic for making recordings of the sort you'd do with a Zoom recorder. The Zoom internal mics will be far better.

To do significantly better than the Zoom's internal mics you are looking at condensers for a start, and that means external preamps with phantom power. It's probably not worth bothering unless you've got a pair of Røde NT5s, AKG C535 or C451, Neumann KM184 or anything from Schoeps, and long before you get to that level it's more about putting them in the right place than how much you spend on gear...

Anahata