The two veteran wrestlers have combined for a 36-2 record this season.
The Nittany Lions powered through two close games and closed the weekend with three blowouts in the USF Tournament in Tampa, Florida.
Roman Bravo-Young and Carter Starocci will serve as the Nittany Lions' top-seeded competitors in Tulsa.
The true freshman's win at the Big Ten Championship Sunday propelled Haines to the No. 2 national ranking.
Beau Bartlett and Shayne Van Ness are moving on to session four to compete for third place.
Van Ness will continue to fight through the consolation bracket in the upcoming sessions.