I recently went to A Mano, the new restaurant by the folks behind Bin 36 and also located at the House of Blues. I've eaten at Avec a lot, and really enjoy it, and I think there are similarities between the two. The concept is the same, though there are differences in execution.
A Mano also features small plates, cheeses and preserved/cured meats, small portions of pasta, some brick-oven pizzas, and wine by the carafe. The setting is quite different from Avec...it's big and loud, with plenty of room for the no-reservations drop in crowd that come with being attached to a big hotel.
I don't know that I'd call it hip, but it was a bit trendy of an atmosphere. It was certainly a relaxing setting, and my sister-in-law and I lingered through a carafe of wine, pizza, proscuitto, a couple salads, a pasta, two desserts and two dessert wines. We took our time and were probably there for 3 hours. We never felt rushed. I'd recommend it.