Squid with redirector and ssl

I got the following scenario that I would hope to take advantage of
Squid. I have two machines say one is called abc, the other is called
xyz. Squid resides on the same machine as abc. For the users, I only
would like them to know they are accessing machine abc. So to the
users, contents from xyz box will be referred as www.abc.com/xyz/*. I
know this could be done fairly easily by redirector of Squid.

However, the trick is the http connection between abc and xyz must be
in SSL or rather https connection. It is like squid on abc is listening
on the normal http port 80. Once Squid gets requests for xyz files, it
has to encrypt the file by SSL and sends to xyz box.

I know this task can be easily done by mod_proxy and mod_ssl of Apache.
Given the memory constraint, I was hoping to use not so memory hungry
Squid to do the task.

Thanks a lot!