Hitching out to Nevinomyssk and to the M29
Take the marshrutka (mini-bus) #27 to Demino. Get out at the second round about (the first one is at the end of the city, the second one is already far beyond the city). You are now on the bypass and can easily hitchhike from the roundabout. The marshrutka leaves from the busstop at the corner of Lermontova and Pushkin street.