Would you do that if they were not short sales? What would your plans be if more than one short sale were approved at the same time? Buy all of them?
A "bid" and a contract are two totally different things. A bid is just that..an offer. A contract is a legal binding instrument. Are you going to disclose to the listing agent that you are placing multiple offers and also accepting multiple contracts?
This is one reason why we require buyer inspections immediately after owner acceptance, not after lender approval. It prevents the seller's property from being tied up by a buyer who may have submitted multiple offers, with the intent of walking away from most of them with the post approval inspedtion period.
After 2 months, assuming the package was complete, and timely submitted, you should be close to an answer.