You might look for hotel brands that encourage or don't mind the food delivery, assuming that you consume it in your room. Almost every hotel forbids outside food in their lobby and other public areas. I've generally found Starwood alofts to provide delivery menus in the rooms. Marriott Residence Inns tend to do the same, but they have food in the early evenings and are oriented toward longer stays.

OTOH as a guest, I appreciate hotels and apartment/condo buildings that do not give food delivery employees the run of the property. I don't like the knock on my door when it's food that I did not order.