Hi David,
Don’t know how you far you have got in your plans for Burgundy but don’t hesitate to contact me if you need more information as I live here; There are plenty of places open to the public these days as Burgundy is finally waking up to wine tourism the big suppliers, Bouchard, Louis Jadot, Olivier Leflaive, Chateaux de Marsannay, Meursault and Pommard blah, blah, blah are all open to anyone that makes an appointment. They can all also organise shipping to your home with varying conditions.
The ‘famous’ names DRC, Comte de Vogue, Ettiene de Montille, Dujac etc do not open to wine tourists. All their wine is sold and they do not need to bother - fact - so they don’t.
The indépendant vignerons that make up the backbone of Burgundy, the guys that made Burgundy famous in the first place will welcome you provided you make an appointment and for the most part, that you can speak French as they don’t generally speak English. However, the majority will not be able to organise shipping, in that case, take contact with MailBoxes Etc in Beaune to arrange it yourself.
The final option is to take a private wine guide for the day. The guide will collect you from your hotel, make appointments in advance for you at wineries that are not usually open to the public, translate, arrange TAX FREE shipping for you (French tax is 20% so this generally pays for your shipping) and drive you around all day so you don’t have to spit at the tastings. A guide will also give you the benefit of insider knowledge and answer your specific questions all day long.
Hope that helps you with your planning, whichever you decide togo, Burgundy is an experience you will never forget.