You can flight to Brindisi or Bari airports. There are several low costs companies which fly there, together with Alitalia.
Once you arrived at the Bari airport you can take a shuttle that will bring to Bari train station where you can travel to Lecce and from there to Poggiardo
Once you arrived at Brindisi airport you can take a bus to Lecce and from there the train to Poggiardo.
Whether you arrive to Bari or to Brindisi we can arrange our shuttle to pick you up at those prices: 30 euro (Bari) and 20 euro (Brindisi).