If they are small dogs, you may be able to find a 2/2 condo within that price range. If the dogs are over 30 pounds each, and if there are more than two of them, you may have some difficulty.
Though I am a realtor who gets makes a commission only when I directly help people find places to live, I am going to direct you to a source that will not involve working with a realtor.
I think you are more likely to find an apartment that works for you using the apartment guide that is available in any Publix Supermarket. If you are not in this area, go to http://www.ForRent.com, and you will be connected to this guide. These apartments are more likely to be pet friendly.
Marc Jablon, The Jablon Team
RE/MAX Complete Solutions