StableHost does offer SSH.
Please note -- the linux shell your account will have is limited and is not a real Linux shell. It does not give access to compilers, but gives you access to the majority of the tools you need to manage your website, via command line.
If there's anything you can't do via shell, please open up a ticket with us and we will do it for you.
To order SSH access, you can either order it when you sign up for service. If you decide to order it at a later date, please log into your billing portal, click on my hosting accounts, and click on 'Click to view available addons' You will see an option for adding SSH access to your account.
Enabling SSH is done automatically and your account should be enabled within 10 minutes after the order is completed. Please contact our billing department if you have any issues with ordering.