Tringale, who has played 331 times on the PGA Tour without winning, shot a career-best round of 9-under 61 which might help him break his winning drought at a tournament run by the European tour.
Tringale ran off six straight birdies to start the back nine at The Renaissance Club on Friday and had a three-shot lead in the first European event co-sanctioned by the PGA Tour.
Meanwhile, LIV rebel Ian Poulter - who battled to have his Scottish Open ban overturned during the week - shot an eight-over 78 that saw him fall 16 shots behind the leader and in a tie for 151st in the 160-man field.
Poulter was adamant the attention did not affect him. "I didn't feel any nerves in any way, shape or form," Poulter, who finished third here last year, said. "Why should I? This has been my home tour for 24 years."
- with AP and Daily Telegraph UK