And even if Disney allowed it, you couldn't pay me to pack that many in a BCV studio.
While
DVC will allow you to book your group in a one bedroom villa, be aware that there is only sleeping space for 4, and the resort will not provide a rollaway, sheets, pillows or blankets for the extra person. You'll need to bring an aerobed or something like that, and your own bedding. They will provide a pack-n-play and bedding for the baby.
I would highly, highly recommend a two bedroom villa. You'll all be much more comfortable.