The best answer is that you just never know until you try! There will be competition, and some will be lucky and some will not. Your best chance will come if you call as soon as your window opens right at 9 am Eastern.
The largest number of 2 bedroom villas will be the Pool/Garden category at the BWV, so that's your best chance of getting into either BCV or BWV. Keep in mind that all of the 2 bedroom villas at the BWV are lock offs - so the second bedroom will have 1 queen bed and a double sleep sofa, as well as its own door to the hallway.
If you need a dedicated 2 bedroom, you will have to hope BCV has availability. There are 3 booking categories of 2 bedrooms there - lock off, dedicated with two queen beds in the second bedroom, and dedicated with one queen bed and a queen sleep sofa.
Don't be afraid to waitlist - you already have your back up.
Good luck!