The crowds along the cost are in peak force in the 2nd half of July, and traffic can be thick.
A quieter set of towns might include Beaulieu-sur-Mer or Menton (but this means a longer trip by train -- it is end of the line). Villefranche-Sur-Mer is small, beautiful and can be overwhelmed in the summer, as is St. Paul de Vence. Biot is not bad but the links from the upper town to the Gare are not good, and I think there is quite a bit of traffic from Marineland. Haut de Cagnes is popular but it is really just an outskirt of Nice -- there is a bus down to the Gare. Antibes is also in peak mode, as is Juan les Pins.
If you still wanted the cost and wanted to drive, you could try La Turbie or with a big budget, Cap Ferrat. You could also go small and inlad, like Tourettes-sur-Loup, which is less touristed yet still has nice restaurants in the centre, including a Michelin starred one.
St. Remy is very popular in the summer and will be crowded, as would Les Baux. You could really go over the tourist path and stay in a lesser known village in the area or near the Luberon.