Changes

First Option: Take a bus out towards the airport. Get off the bus as soon as you can after it's come off the big spaghetti junction area. Walk back up and over the junction on the lane with the traffic going away from the airport. Take the first slip road on the left for the SP70, (signpost - Siracusa/Ragusa). Follow it under the bridge until it meets with another slip road. From there you can hitch both slip roads on the white line area. Second Option: you can also walk 1.5km south of the city, to the roundabout at the end of Via Plaia, at Via Domenico Templo. There you can go to Siracusa by motorway (just stand on the sliproad, there is a little bit of space, it's called Via San Giuseppe alla Rena), but traffic goes via the tangenziale, and therefore in all directions. Eventually, however, you should find somebody, even though you might be offered rides to North and East directions, too. The second possibility at this spot is taking the Statale 115, but it goes via all the beach resorts which might be a bit cumbersome. We tried both options and got a ride after 30-45 of walking back and forth.