There are three views, Theme Park, lake , and standard. The lake views are about 68% of all rooms and only a small set of those also can see MK and the castle. It is the lake view rooms that are on the north wall of the building facing north that can see MK when looking to your left so you might make a request for a high floor in that area but the request is not guaranteed. The only way to guarantee an MK view is to get theme park view. Other lake views face east, the exact opposite direction from looking at MK, or south in the general direction of Epcot and those do not have a view of MK. My personal view is the lake views looking east and some toward the south are actually the best views there. Theme park view is mainly good for one thing, the fireworks at night, otherwise that which you mostly get an eyeful of all day is a huge parking lot. Lake view is pleasant all day long.
For the time you are talking about switching to BLT, you should be able to get lake or theme park view. That week before Thanksgiving week is actually the calm between two storms, Oct through about mid-Nov and the period that starts the Tues before Thanksgiving, and many things not usually open Oct through Dec are available at 7 months out during that week.
