Elbasan is a great place to hitch from and use as a half-way home. The road connecting the Albanian coast with North Macedonia runs through the centre of the city and there is a direct road leaving Elbasan for Tirana.
East towards North Macedonia, Pogradec, Korçë
From the stadium in the centre of town, walk out along Rruga Kamber Sejdini which soon joins with SH3. Cars will not be travelling very fast so just start trying to get a lift whilst walking. Ask for Librazhd which is about half the way to Lake Ohrid. You can wait at 'Besmiri','Alpet' or 'Ap Anoil' gas station near the Krasta hill (downtown). Also to be sure go further than that and you have more possibilities to catch a car. You must say before you enter the car that you don't have money.
North From the fountain roundabout next to the bus station, walk out along Rruga 11 Nentori (SH3) and start trying to get a lift. After 10 minutes of walk, you are nearing the edge of the city and lifts should be easier to get. A direct lift to Tirana should not be too difficult to come by and to get to the coast, it will probably take several. Or if you want to travel to Tirana fast you can take the bus (150 ALL or 1 EURO)near the city center.
West From the fountain go straight to the same street as Tirana and go near the place called "Tek Lulet" or the Rruga 11 Nentori. Stop at the fountain and you can hitchhike there. But better if you make clear that you are going to Durres or Vlora because its the same street that goes to Tirana to.