Before you drive again, check your lugnuts. When I was in Germany for the military I bought a car for 50 bucks that supposedly needed a new CV axle. The car was acting in the same manner, road noise in all conditions except when turning the wheel in one direction. Before I made it home the wheel had come off. I was only going about 20MPH, but that wheel took off like it had been shot from a cannon and almost hit a full size van in the windshield. It also left a pretty good dent in the back of the front passenger wheelwell. I was going around a hard left turn when it came off. It turns out that the guy I bought the car from was having problems with one of the other residents in his base housing unit, and that other person had loosened the lug nuts on the car. He had also been driving it like that for several weeks. The real pisser was, he'd taken it to the base AAFES repair shop and they'd quoted him 2000 dollars to replace the axle which goes to show that they didn't even examine the car. They were probably going to charge him the 2000 dollars and just tighten the lugnuts. I just installed new lugnuts and made a killing off the car. Not saying this is what you have, but it's a quick thing to check.
A bad wheel bearing could cause this, and there's usually a lot of grinding noise when a bearing is going bad. You can jack up the wheel and spin it by hand, if you can hear a gravelly grinding noise then the wheel bearing is bad.