I'm in Astrakhan, Russia. There's very little information out there on buses or trains to use to eventually get to Aktau, Kazakhstan.
bahn.de shows a 75 hour train with 3 changes, so I have no idea what crazy route that's taking as it's really not that far.
I think in theory I can get to Atyrau first, and then a connection from there to Aktau, but this is all in theory only; I may just have to wing it when I get there - unless you guys can help with some more info? :)