Although it can be done, it's not recommended. You have to get from the airport to the train station, it can take 5 - 8+ hours train travel (with a couple of transfers) from Rome to Mogliano. Once you arrive in Mogliano, there is limited public transport, and nothing direct to the any of the venues. It is strongly recommended to rent/hire a car and drive from Rome to Mogliano, Marche.
The heat usually breaks around the first week of September. The average high is 77F/25C and the average low is 60F/16C for the month, so expect it to be warm in the first two weeks. Occasional rain showers come through in the afternoon, and they're beautiful to watch while sitting on the veranda enjoying an Aperol Spritz.