Certainly you can use SQL Packager to do this. Once you have created a package for each of the three databases, you can run them through a batch file. You could run a quick SQLCMD script to drop the databases if they already exist, then run the package using its' command-line arguments where you can specify the username, password, server, database name, and the /makedatabase switch to recreate the database anew.
The only thing to watch out for is if you have SQL security users in the database as they well be created with a password of 'P@ssword' if the login doesn't exist. Windows users can also be a headache if they're qualified to the machine name. The best strategy is to try to make sure all of the necessary security logins already exist on the server before running the package.