I wasn't able to fully test the following since the server I am currently working on is missing the PHP module that allows me to call get_result on mysqli_stmt but maybe this could be helpful for someone:

<?php

/**
 * Custom {@link \mysqli} class with additional functions.
 */
class CustomMysqli extends \mysqli
{
    /**
     * Creates a prepared query, binds the given parameters and returns the result of the executed
     * {@link \mysqli_stmt}.
     * @param string $query
     * @param array $args
     * @return bool|\mysqli_result
     */
    public function queryPrepared($query, array $args)
    {
        $stmt   = $this->prepare($query);
        $params = [];
        $types  = array_reduce($args, function ($string, &$arg) use (&$params) {
            $params[] = &$arg;
            if (is_float($arg))         $string .= 'd';
            elseif (is_integer($arg))   $string .= 'i';
            elseif (is_string($arg))    $string .= 's';
            else                        $string .= 'b';
            return $string;
        }, '');
        array_unshift($params, $types);

        call_user_func_array([$stmt, 'bind_param'], $params);

        $result = $stmt->execute() ? $stmt->get_result() : false;

        $stmt->close();

        return $result;
    }
}

$db = new CustomMysqli('host', 'user', 'password', 'database', 3306);
$result = $db->queryPrepared(
    'SELECT * FROM table WHERE something = ? AND someotherthing = ? AND elsewhat = ?',
    [
        'dunno',
        1,
        'dontcare'
    ]
);

if (isset($result) && $result instanceof \mysqli_result) {
    while (null !== ($row = $result->fetch_assoc())) {
        echo '<pre>'.var_debug($row, true).'</pre>';
    }
}

?>

NOTE: If you want to use this with a PHP version below 5.4 you have to use the old ugly array() syntax for arrays instead of the short [] syntax.