I love Artist Point - it's definitely one of my favorites. DH and I are actually going again next week to celebrate our anniversary. It will be the third year in a row that we've gone to Artist Point for our anniversary - it's become something of a tradition.
I also recommend the prix fixe menu. The soup is wonderful, and I love the coffee two ways, although my husband likes the cobbler better. We always do the wine flight. To answer a previous poster, a wine flight is a series of three small glasses of wine paired to your various courses. You get a smaller glass than you would if you ordered one wine by the glass, but you get to try several different kinds. I always ask the server what they recommend based on what I order, and go with their choices. Every time we're impressed on how well the food and wine complement each other. The wine flight is a great way to try several wines without getting too drunk to enjoy your meal!
I always wear dressy capris with nice sandals and a nice sleeveless shirt. FYI, the no tank tops rule is geared towards men - the goal is to not see a man's chest, back, or armpit hair. Women can wear sleeveless shirts with no problem.