L.A Burdick on 20th between 5th and Broadway doesn’t actually list a blended frozen hot chocolate on their menu. I’m not sure why. Maybe it’s a pain in the arse for their staff to trek into the kitchen for every order? I understand that customers would make this request since their standard hot chocolate is so highly regarded. My guess is, some regulars nagged them (that’s what I would do if I lived nearby) until they conceded. In any event, despite it not being on the menu, you can and should try a frozen hot chocolate from Burdick this summer.