If you follow these steps (for Lightroom rather than Photoshop)
you should be able to download Lightroom 4.4.
Works for me.
I followed the instructions, got to the lightroom page. The big blue download button is on the top right for Lightroom 5 but when I switch it to Lightroom 4 in the drop down box it disappears and there's no way to download it. Any ideas?
On Windows XP, when I switch to Lightroom 4.4, I do get a button which says Download Lightroom 4.4.
However clicking that button gives the following message
You are running an operating system that Lightroom no longer supports. Refer to the system requirements below for a full list of supported platforms.
That message is correct for XP.
But if you're running Vista, I would expect the download the start. Have you tried different browsers?
I was using Chrome. Just tried in Internet explorer and got the same thing. I see the same message as you when I try to install Lightroom 5, but like I said when I switch the version to 4.4 in the drop down box, that download button goes away entirely.
I did a chat with someone in customer service from Adobe and they said you are no longer allowed to get Lighroom 4.4 with the cloud. How long ago did you download the older version? I'd really like to keep this but I'll probably cancel if I can't get access to Lightroom too.