there is an adobe cs 5.5 suite and an adobe cc suite (in addition to cs, cs2,cs3,cs4,cs5 and cs6). but there is no adobe cs5.5cc suite and there are no cs5.5cc apps.
the only subscription available is adobe cc through which you can install adobe cc and adobe cs6 apps, but not cs5.5 or older apps.
that said, here are direct links to most of adobe's available software,
Downloads available:
- Suites and Programs: CC | CS6 | CS5.5 | CS5 | CS4 | CS3
- Acrobat: XI, X | 9,8 | 9 standard
- Premiere Elements: 12 | 11, 10 | 9, 8, 7
- Photoshop Elements: 12 | 11, 10 | 9,8,7
- Lightroom: 5 | 4 | 3
- Captivate: 8 | 7 | 6 | 5
- Contribute: CS5 | CS4, CS3
Download and installation help for Adobe links
Download and installation help for Prodesigntools links are listed on most linked pages. They are critical; especially steps 1, 2 and 3. If you click a link that does not have those steps listed, open a second window using the Lightroom 3 link to see those 'Important Instructions'.
However, if you're having an account problem you should contract adobe support directly, http://www.adobe.com/support/chat/ivrchat.html