If you are looking for an affordable white Burgundy, a Chardonnay from Mâconnais is your best bet. It's nestled in between Côte Chalonnaise to the north and Beaujolais to the south. It is typically labeled Mâcon-Blanc, Mâcon-Supérieur, Mâcon-Villages, or Mâcon-[name of village]. (Listed in the order of quality). The less expensive ones have no oak, while the better wines will have a kiss of oak.
The best quality wines out of the Mâconnais is the Pouilly-Fuissé. These wines have gained popularity so the price has risen. You can still find values, but not as good of a value as from Mâcon-Villages. (You pronounce Mâcon as mah-kawn).