Use WordPress with dynamic domain name. Inspired by livemode from Local by Flywheel.

wp-dynamic-distant-urls.php

<?php
/*
Plugin Name: WP Dynamic Distant Urls. (Adapted from Local by Flywheel Relative URL (for Live Links))
License: GPLv2 or later
*/

$original_domain = parse_url( get_option( 'siteurl' ), PHP_URL_HOST );
$distant_domain = $_SERVER['SERVER_NAME'];

if( $original_domain !== $distant_domain ){

  add_filter('template_include', 'bm_ob_start_template_include', 0);

  remove_action('template_redirect', 'redirect_canonical');

  $filters = array(
      'wp_redirect',
      'bloginfo_url',
      'the_permalink',
      'wp_list_pages',
      'wp_list_categories',
      'the_content_more_link',
      'the_tags',
      'the_author_posts_link',
      'post_link',
      'post_type_link',
      'page_link',
      'attachment_link',
      'get_shortlink',
      'post_type_archive_link',
      'get_pagenum_link',
      'get_comments_pagenum_link',
      'term_link',
      'search_link',
      'day_link',
      'month_link',
      'year_link',
      'option_siteurl',
      'blog_option_siteurl',
      'option_home',
      'admin_url',
      'get_admin_url',
      'get_site_url',
      'network_admin_url',
      'home_url',
      'includes_url',
      'site_url',
      'site_option_siteurl',
      'network_home_url',
      'network_site_url',
      'get_the_author_url',
      'get_comment_link',
      'wp_get_attachment_image_src',
      'wp_get_attachment_thumb_url',
      'wp_get_attachment_url',
      'wp_login_url',
      'wp_logout_url',
      'wp_lostpassword_url',
      'get_stylesheet_uri',
      'get_locale_stylesheet_uri',
      'script_loader_src',
      'style_loader_src',
      'get_theme_root_uri',
      'plugins_url',
      'stylesheet_directory_uri',
      'template_directory_uri'
  );

  foreach ( $filters as $filter ) {
    add_filter($filter, 'bm_dynamic_url_rewrite');
  }
}

function bm_ob_start_template_include($template) {

  ob_start('bm_dynamic_url_rewrite');
  return $template;


}

function bm_dynamic_url_rewrite($str) {

  global $original_domain, $distant_domain;

  $str = str_replace('www.' . $original_domain, $distant_domain, $str);
  $str = str_replace($original_domain, $distant_domain, $str);

  return $str;
}