This would be a very interesting area for future research. Those drugs that you mentioned are not commonly linked with anti-inflammatory activity - feels more likely that it would be linked to more directly psychoactive properties. Anecdotally, I believe that anti-inflammatories such as NSAIDs (non-steroidal anti-inflammatory drugs, i.e. Ibuprofen and Naproxen Sodium) and Minocycline have been cited as having anti-depressant impacts. Minocycline is a very potent anti-inflammatory and has been used off-label in a variety of autoimmune conditions.
Some further reading - http://www.ncbi.nlm.nih.gov/pubmed/18267354 http://www2.kenes.com/wcap/scientific/Documents/Symposia/Tsu...