As someone who 3D prints (not at this scale), and not knowing anything about the building you are trying to create/recreate, I can tell you that even with the fastest printers, that timeline is not likely to be feasible unless you happen to be right next door to a print farm with multiple Bigrep, or Modix, or other large format machines. First off, you need to have a digital 3D model to work from (which will have to be modeled if you don't have one already), which then has to be cut into pieces small enough to be printed on whichever printer they are using, most of the largest being a max. of 1-meter sq. footprint. Then, there is the actual printing; the material used would be determined by where and how long the model is sitting and its durability for shipping and assembly based on that size. As far as printing it would not be super fast, larger nozzles with pellet-based print heads will speed things up a bit, but larger nozzles mean more texture to the surface due to the larger layer lines which would make it difficult to adhere anything to without some kind of surface prep which could be very time-consuming. There is a lot of nuance I am leaving out as well, but sufficed to say, it is not an easy task. But who knows if you already have a model and money really is no object...
This is from Modix
IMHO, GAC05's suggestion is likely your best bet, take all the outside surfaces and Router cut them as req., build a simple internal frame and skin it with the cut sheets. If cost is no object and the clock is ticking, this would be my approach, since you are also more in control of the finished product.