Turns out there are Taxis for 5000 tenge, taking 5 hours. They do try to charge foreigners 50000 though – just get into the car and automatically hand over 5000
There’s a train to Aktau that will set you back 20-30$
According to Caravanistan, there are shared taxis that will take you there too, for about 500 tenge, though from my searching around everyone seems to take the train there and there is little mention, if any, of marshrutkas and taxis to Aktau.
Credit:stackoverflow.com‘