i searched “phplist” and nothing found – does this mean that it cannot be installed and integrated with DH announce list ?

I believe it can be installed (from looking a the system requirements on the website), though you made need to install your own custom PHP (if you want to use the “bounce processing” you will need to install the IMAP module), and they claim it has not been well tested with MySQL 5 (which is what DreamHost runs).

I know of know way to “integrate” it with the DH Announce list feature, or even what you have in mind for that. They are different systems to do basically the same thing.