CPT archive as home page

Re-name your CPT archive to home.php

Then use pre_get_posts to alter the home page query so only CPT’s display

function wpsites_home_page_cpt_filter($query) {
if ( !is_admin() && $query->is_main_query() && is_home() ) {
$query->set('post_type', array( 'your-cpt' ) );
    }
  }

add_action('pre_get_posts','wpsites_home_page_cpt_filter');

Replace your-cpt with the name of your custom post type.

Note: pre_get_posts won’t work with the is_front_page() conditional tag.