Yeah.... I think you'll pretty much just need to experiment with some small aquarium pumps and a combination of sprinklers and drips that you might find at an irrigation supply house or hydroponics shop.
So you plan to leave this thing running for 24x7 for a month or so? I'd think you'd need to still turn it off for a little to let some of the water drain from whatever your plants are rooted in. But maybe not if your drainage is good.