HTTPS with WordPress on Bluehost

Hello.
I can’t seem to get it to work. I’ve used Bluehost’s base URL of https://secure.BlueHost.com/~username (with my username) and get 404: File Not Found

I also would love if you could help me change the URL that shows us to keep my site’s address.

Thanks for your help!!

http://wordpress.org/plugins/wordpress-https/