December is one of WDW's busiest months overall, with even early December being busy in recent years, and early December is also part of
Free Dining this year. It will be packed, and between Free Dining & Pop Warner it's no surprise few value resorts are left for this peak period.
Early February won't be as packed as all of December, but the National Cheerleading Championship is being held at WDW on February 10th & 11th. The cheerleaders tend to stay at value resorts.
You might try looking at one night at a time, & see what's available that way. You might even find consecutive one-night availability at the same resort. In that case, calling can help, as the phone rep can see if Guest Services can put separate available nights together that can't be reserved together online.