US passport is with French Consulate to obtain a student visa. I am traveling to the BVI's the day after I submit my application. Can I use my Massachusetts driver's license and U.S. birth certificate to travel, or my Canadian passport?
I am assuming you plan to fly there. While the authorities of the British Virgin Islands will accept a birth certificate and driver's license for entry, the US government requires that you have a Western Hemisphere Travel Initiative-compliant document to travel in or out of the US by air. Unless you happen to have a Trusted Traveler Program card "(NEXUS, SENTRI or FAST)" or fall into an unusual exception (US military traveling on official orders, U.S. Merchant Mariner traveling on official business), that document will be a US passport.
If you can plan ahead, you can obtain a second US passport so you can travel while your first passport is with the French consulate (or pay a passport service to get one for you), but the process is somewhat costly and cumbersome.