I've treated areas outside the garden last year and it looks like they may have moved to the veggies.?? Is there any reason to treat them in the veggie patch? If so, what would be a natural way to go about it.

Note: The ones I treated were flying ants.

Even if they don't bite, for me, I don't like things (lots of things is even worse) crawling on my hands and arms when I'm doing yard work.

Since you mention specifically that they are different kinds of ants (with wings), then you'll need to check what kind of food they eat to get the proper bait or food to trick them and remove them. For example, something sweet or something else?

You can also keep that bed area constantly wet and see if they move on their own but then when they do move, you'll have to handle them at their next spot also.

Dave