I would forget about January or February. There is almost nothing open.
November and December are big months here. The grounds at Big Cedar are absolutely beautiful in Christmas season. Even a 1-bedroom in a lodge building would be nice.
As for other resorts, pick what you like~~~on the lake, golf, or in town. There are more than 20 resorts that are decent, Gold Crownish. Maybe one with an indoor pool and hot tub. Of course, Big Cedar has that.
I have made enough trips helping others choose between the final couple of choices that I probably won't have to do that.
Weather permitting, the boat operates year-round.
I've been catching nice fish every day at our dock.
Springfield SGF to Branson~~~52 miles
Make your airport choice based on the total package of plane, rental car, gasoline, and your time. Any of them listed are doable with a mid-day arrival for a 4:00 check-in. Then an early afternoon departure. You'll gain time going home.