If you don't want ANY drop down I believe you can do it in a kludgy sort of way.
Eliminate all the group aliases (which are used to populate the dropdown) and make a local database of the users for the sole purpose of assigning / restricting them to a non-default tunnel-group which authenticates to the secondary LDAP server.
You can also send out a non-published URL that points to a second tunnel-group not in the dropdown.
Of course, we can accomplish this if the AAA server is ISE. ISE 1.3 can authenticate users to multiple AD domains (with or without trust relationships) or a single domain with multiple join points in the Forest.
The ISE answer makes me wonder - could you establish trust between the domains and authenticate users that way?