If you have several hundred or thousand posts that must be searched through, changing the ACF post object to only search in titles is a huge performance enhancement.

In functions.php:

function add_search_only_titles_filter($args, $field, $post_id) {
    add_filter('posts_search', '__search_by_title_only', 500, 2);
    return $args;
}

function __search_by_title_only( $search, &$wp_query ) {
    global $wpdb;

    if ( empty( $search ) )
        return $search; // skip processing - no search term in query

    $q = $wp_query->query_vars;    
    $n = ! empty( $q['exact'] ) ? '' : '%';

    $search =
    $searchand = '';

    foreach ( (array) $q['search_terms'] as $term ) {
        $term = esc_sql( like_escape( $term ) );
        $search .= "{$searchand}($wpdb->posts.post_title LIKE '{$n}{$term}{$n}')";
        $searchand = ' AND ';
    }

    if ( ! empty( $search ) ) {
        $search = " AND ({$search}) ";
        if ( ! is_user_logged_in() )
            $search .= " AND ($wpdb->posts.post_password = '') ";
    }

    return $search;
}

add_filter('acf/fields/post_object/query', 'add_search_only_titles_filter', 10, 3);