Cheap 2 Bedroom Apartments For Rent In Baton Rouge . Cheap apartment rentals in baton rouge, la; Today's average rental price for two bedrooms here is $1,307. 4212 Oxford Avenue Apt 4, Baton Rouge, LA 70808 2 Bedroom Apartment from www.zumper.com View 9 2 bedroom housing for rent in baton rouge, la. The perfect 2 bed apartment is easy to find with apartment guide. Find two bedroom apartments for rent in baton rouge, louisiana.