Villeneuve is just over the Rhone from Avignon proper, and is in fact closer to the old town than many parts of Avignon proper.  It has it's own tourist office as officially it is part of a different region of France.  Most of the tourist guides would recommend Villeneuve in it's own right.  Those on a tight timetable might overlook it - at their peril.  It is a far calmer experience and lets you feel like your discovering something for yourself.  If experiencing France is part of your trip then Villeneuve is one of the places you shuold consider.