A bridal shop that sells veils will let you try different veils on with your dress. You can be up front that you're considering wearing a veil but aren't sure how it would look with your dress, and you want to try a few on at different lengths to get an idea of how each would look. A bridal salon won't find that unusual at all.
Is that where you're getting your alterations done? If so, then yes, definitely still includes DB! No one's feelings will be hurt if you ask to try on some veils to get an idea about what length you might like while you're doing a fitting.