You could make use of remove_filter() and have your field call like this:
the_field('wysiwyg_field', false, false);
If that is stripping away what you need, try this:
the_field('wysiwyg_field', true, true);
If that still doesn’t generate what you want, in the WYSIWYG field settings, change the editor mode to ‘Text’ which will retain all of your HTML tags. You won’t get a WYSIWYG preview on edit screens but your formatting will remain intact.