If I understand correctly, the concern is killing lawn weeds without harming hops. I would think that a product like Preen, which is basically a hormone treatment to prevent weed seeds from germinating, would be safe to use, but it is only useful at the start of the season. Once you have active vegetation you're trying to kill, I'd be very wary, because, as Kevin notes, the hop's root system is broad and deep. I'd worry about a general, broadcast spreading or spraying of anything that kills broad-leaf plants, as it could soak down and reach the hop roots. Maybe you could try one of those sprays you carefully apply to individual weeds and that are absorbed through the leaves (Weed-B-Gone and Spectracide I think come in targeted spray bottles) or go full OCD and root them out one by one with a hand tool. If you have dug down and cut back the spread of the hop crowns, and maybe installed a barrier as Kevin suggests, you might have a better idea where the "safe zone" is where you don't have to worry about affecting your hops. Read labels to get some idea of how the product gets into the plant's system.