You can create a shortcode for that, like this:
function sc_random_post( $atts, $content = null ) {
$html = '';
$posts = get_posts('orderby=rand&numberposts=1');
foreach ( $posts as $single_post ) {
$html .= '<a href="' . get_the_permalink( $single_post ) . '" title="' . get_the_title( $single_post ) . '">' . get_the_title( $single_post ) . '</a>';
}
return $html;
}
add_shortcode( 'random_post', 'sc_random_post' );
And then you can just use it in the content:
bla-bla-bla
[random_post]
bla-bla-bla
You could develop it further to exclude the post you are currently in - so the random would never give you the post the visitor is reading.