The trip single page currently displays with single template from WP Travel single-itineraries template file.
While the trip detail page cannot be displayed via shortcode, you can still debug and fix the layouts issue with theme with the Template Override feature included in the plugin.
For further info on Template Override via theme, please check the documentation link here :
You can also provide us the link to your Trip Details Page so that we can help you with the fixing of layout issue in your theme further with some quick Additional CSS fixings.
If you have any queries / issues further, please feel free to write your queries to us.
Best Regards !!