I had a great stay at Maria’s trullo for a one night stay on a road trip through Puglia.
While a bit expensive for what you get, the trullo itself is clean, well located and offers a unique housing option relative to a cookie cutter accommodation. Street parking was easy to find when I visited in mid-May.
As other guests have mentioned, the check-in process is a bit clunky and requires meeting in person and coordinating fairly exactly on time which may be an issue for travelers relying on WiFi on their trip vs having Italian cellular service. Signing an additional contract upon arrival didn’t take long but it seemed superfluous to the all-in-one streamlined nature of AirBnB generally.
Besides these small quirks I can highly recommend a stay at Maria’s trullo for your visit to Alberobello!