Recommended list of food to try

Hello,
May I ask if the recommended list of food to try: Beggar's Chicken (a chicken baked in clay), West Lake Fish in Sweet Sour Source (vinegar coated fish fresh caught from the lake), Dongpo Pork (braised pork) and Fried Shrimps with Longjing Tea, etc. is easily available in the restaurants around West Lake?
Thank you.