Whatever you decide on, you need something without a huge root run, or the roots will invade your veggie patch and take all the moisture and nutrition.
Brambles (blackberry) are a good choice, provided you can keep them in check and tied into horizontal wires. Stop the tips from touching the ground or they will root and make new plants, gradually turning into a thicket. I agree with pgkevet that the thornless types would be best. I have a pet theory that brambles are actually carnivorous, grabbing you as you walk near, then wrapping around your legs so you can't escape. Once you've eaten all the fruit you die, the bramble feasts on your remains and produces an even bigger crop for next year. It's usually sheep that get caught, but I'm sure they're not averse to the odd human
Joking apart, thorny brambles can be a nuisance if you're working nearby, or if you have livestock on the other side of the fence, but the thornless ones, if you can find a tasty variety, would be ideal.