The thoughts that come to my mind are:
1) Warped rotors grabbing. Do your brakes shake badly when applied? If not, ignore this one.
2) CV joint
Honestly, the best thing to do would be to jack up that side of the car, put it in Neutral...make sure your parking brake is set...yes, I have made that mistake before
...and spin the wheel and see what, if anything is catching or making a noise.