I dont know if this is what your looking for, but worth a try
Registered servers. Create your registrations. When login, you will see a list of registered servers. I registerd 2 as Windows Authentication and one as SQL Server authentication with remember password checked. When re-opened MS tried to prompt me for password for the local server, I dismissed the dialog box and on the left was a list of my registerd servers. I was able to expand each of them without any additional authentication.
Eric