No, there's no way to do that. With the "Full Joomla User" option, that field and the password are all that can be shown, so we don't have any 'in-between' mode to do what you're looking for.
Hope that explains, with the 2 different modes, we have both 'quick/automated' and 'user-involved' covered, and it's your choice to determine the best way that will work for your site.
Alex