Like everyone has stated before, it will probably be a heck of a lot cheaper and a much better idea to just sell your 6MT and buy a new or slightly used DCT M3. There is no way a local BMW shop or any other shop will have as high quality work as what the car comes from the factory. Does this not make any sense to you?
2012 Audi R8 V10, 6MT, Suzuka Gray, Capristo X-Pipe, Klassen M52R, GMG springs, GT tails, GT wing, Cosmetic mods
2015 BMW X5 35d, Mineral White
2017 BMW M3 ZCP, Mineral Grey
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