I know it’s probably the answer you would like to hear, but there is a workaround.
You can setup a PHP and MySQL setup on your own computer, using something like XAMPP. On there, you can install WordPress and import the backup. Since it’s your “server”, you can decide the limits.
When you’ve imported the backups, installed plugins, etc., you can migrate your website from your own computer to your hosting account using the article I linked to above.