The mega-selling Broadway revival of “Evita” has set the stage for a national tour to bow in fall 2013.“Nice Work If You Can Get It,” the new-fangled Gershwin musical now up for 10 Tonys, and “Peter and the Starcatcher,” the play that notched nine noms, also recently announced plans for national tours to launch at about the same time. The titles follow in the footsteps of noms leader “Once,” which announced plans for a national tour soon after it racked up 11 Tony bids. The spate of tour unveilings coincide with the Broadway League’s annual conference for road producers and presenters, happening this week in Gotham. “Evita,” the Ricky Martin-powered tuner currently pulling in weekly sales of around $1.5 million, will kick off its tour at the Providence Performing Arts Center in Rhode Island in the fall of 2013, while “Peter” launches in August 2013 at the Ellie Caulkins Opera House in Denver. “Nice Work” has yet to set an exact trajectory, and details for all three road shows have yet to be set. Also during the Broadway League’s conference, the League has named winners of its 2013 awards for touring Broadway. Among the recipients: Wayne McWorter of L.A.’s Pantages Theater, getting the kudo for achievement in road marketing, won for his creation of the Pantages’ in-house marketing department, while the road award went to Meredith Blair, topper of the Booking Group, for her work as a prominent booking agent.