There are not currently any DVC discounted park tickets other than annual passes. DVC sometimes has special promo tickets other than annual passes but the last one -- the one you mention which also allowed you to purchase five days for the price of four - - was available between January and March 2016 but not since (and its "discounted" price for the five day pass was actually a couple dollars more than the price you could get the same five day ticket for through Undercover Tourist)
There are three different annual passes you can purchase at a special DVC price, The Platinum Plus which gives you year round entry into both theme parks and water parks, the Platinum which provides year round entry into theme parks, and the Gold Pass, for entry into theme parks for most of the year but it excludes the two Easter weeks and two weeks around Christmas. The Gold Pass, the lowest cost of the three, is available only to DVC members and Floridia residents. If the time in Jan you are considering going includes Jan 1 and 2, 2017, the Gold Pass would exclude those dates, and it will also exclude Jan 1, 2018. If your trips are later than that in Jan, then you would be a candidate for the Gold Pass if going twice in a year as long as number of total park days justify its cost, i.e., as long as the Gold Pass would cost less than buying regular multi-day tickets for the total number of days you will be in the parks (most likely true but still compare the prices just in case).
Best lake view room request to make is high floor. That is the only one we consider necessary. Others try other location requests in additon to high floor, such as "north wall, even numbered room" to get a view of MK when looking to the left from the balcony (we actually prefer the view looking the other way across the lake to what used to be Discovery Island, or looking south toward Epcot where you can view the water parade at night.
There is not a place at BLT for burgers. The BLT pool bar, Cove Bar, has hot dogs, chicken wraps, turkey wraps, vegetable wraps, and a meat and cheese platter. If you want fast service hamburgers you need to go to Contemporary (its pool bar has them). The Contemporary has, in my view, three very good sit down restaurants. Chef Mickey's buffet/character meal, California Grill (top floor/view of MK/table service), and the Wave (table service). Staying at BLT also offers an excellent opportunity to do the Hoop Dee Doo dinner show at Fort Wilderness because a boat runs the Contemporary, Wilderness Lodge and Fort Wilderness Loop. Likewise the Luau at Poly via monorail. Contemporary also offers one the best Disney Stores of any of the resorts. You can walk to MK (about a third mile) but no shame in taking the monorail via the Contemporary if you do not want to walk.