Kearns and Moseley finished tied for 22nd among all golfers playing the difficult Scarlet course, where only winner James Erkenbeck of New Mexico finished the three-day tournament under par with a 68 (-3) in the final round.
Tied for second were Dominic Bozzelli of Auburn, Denny McCarthy of Virginia and Matthew NeSmith of South Carolina at 214 (+1) for the tourney.
McCarthy, as the top individual in a team not advancing, will move on to the championships at Atlanta later this month.
With Erkenbeck taking medalist honors, he led the Lobos of New Mexico to the team title with an overall 870, two shots ahead of the SEC’s Auburn Tigers and South Carolina Gamecocks, both at 872.
New Mexico’s fellow Mountain West Conference member, UNLV, was fourth with 878 and Texas Tech of the Big 12 was fifth with 879, and all of the top five teams will also advance to the NCAA Championships.
Kerns closed his senior season with a 71.9 stroke average, claiming the best season stroke average in Marshall’s history.
“Nathan played much better today,” Marshall first-year Coach Matt Grobe said.
“It was really cool today to see the Marshall fans and family come and support him. It was really a day of mixed emotions.
"I was happy to see him play so well, but it was sad to see his final day with the Thundering Herd.
“It was great to see all the people come out and support Nathan. He had by far the biggest galleries of any kids playing this week.”
Charlotte, who will join Conference USA next year, was tied for ninth with the Southern Conference’s Chattanooga at 889, and had 49ers Thomas Rowland (219, tied for 15th) and Raoul Menard (220, tied for 18th).
Kearns is the third Marshall golfer to qualify for the NCAA Regionals since the format was changed in the 1980s, with Jonathan Clark (1989) and Christian Brand (2011) both playing the the tournament ahead of Kerns, the defending Ohio Amateur champion.