Hi Bruce,
Does your hosting offer SSH connection?
If the answer is yes, you can use the DreamCoder for MySQL to connect with your remote database through SSH tunnel.
All the hosting providers that provide MySQL hosting will block access to the MySQL server from outside the hosting network, and only grant access to users connecting from localhost with PhpMyAdmin. The main benefit of SSH tunneling is that it allows us to connect to remote database behind a firewall when the MySQL server port is blocked.
If your remote server supports SSH connection, the DreamCoder for MySQL will be able to connect with remote databases through SSH tunnel.
DreamCoder for MySQL support SSH tunneling in all the commercial versions.
For more information check the matrix comparison :
http://www.sqldeveloper.net/mysql-manager-developer/dreamcoder-for-mysql-matrix-comparison.html
Regards,
Peter