My main question is, for example, how can I configure the basic search module so that the packages are not visible.
There is only one option to disable this search module.
I use the Travelin template and the only I need is to display a basic search module with checkin/checkout and Room/Guests and of course the search button.
Use Helix Ultimate template & use the search module of Booking.
Design wise we had to devloped the Travelin Template. If you want to remove or modify anything then you have to do yourself. Cause, customization not allowed our support policy.
-Thanks