Where I'm from, locally grown generally is organic. There's a very strong community mindset here (or there, it's half an hour away and I don't shop there anymore) so I would generally go locally grown. I like the idea of supporting local businesses and jobs, and helping get the regions name out there. The fact that it's also usually organic is a bonus, because I think if I didn't care about the community I'd choose the organic for health/environmental reasons.