I haven't checked, but near the green line Zipps is going to be your best bet, and it's not too far from Free Geek. They're relatively big and tend to have good selection. You could try Surly's relatively new N/A beer Outlook Good, though that's IPA-style. I like Hairless Dog in general, they take an interesting approach of trying to make beer-like drinks instead of dealcoholizing.
Indeed has a couple N/A versions of their beers, including the Pistachio Cream Ale, which is really good. I've only ever seen it on tap in their taproom, but it's probably available elsewhere. They also have a lot of THC drinks if that's your thing.
Summit has their Nialis line, which is pretty good. They've got IPA, Irish Dark, and Lager versions.
It's also not local, but you can find Athletic Brewing N/A beers in a lot of places around the Twin Cities, lots of groceries stores carry it.