Triplett followed his opening 62 with a 67 in the morning, and then Perry came from three strokes back to tie him. Perry missed a 25-footer for birdie on No. 18 just moments before the horn sounded to clear the course because of an approaching storm.
The 36-hole total of 129 was one stroke better than the record set by Michael Allen in 2013 in Omaha, Nebraska.
Eight threesomes failed to finish the second round before play was suspended.