Welcome to the BB community! And thanks for the kind words! We really appreciate it.
Regarding your question, if you want it to behave exactly like that, it’s not possible simply by just using the Beaver Builder Theme. You’ll have to add in custom CSS as well as a bit of jQuery. We have something similar that our theme offers though. You can enable the Fixed Header option under the Theme Customizer(Appearance > Customize > Header > Header Layout). What happens is, when you scroll down the page, a different header pops up and sticks to the top of the page. This new header will have your logo but smaller and the navigation menu items as well. You might want to give that a shot!