The 21-year-old, who is 148th on the Fed Ex Cup Standings, opened with a seven-over par 78 to be in a share of 108th place on a day of tough scoring.
Lee, who made seven bogeys in a birdie-free round, will begin round two 11 shots back from the leader American Bo Van Pelt who opened with a four-under par 67.
On the Nationwide Tour, Manawatu professional Tim Wilkinson shot a one-under 71 at the United Leasing Championship to be in a share of 33rd place after round one.
The former PGA Tour player, who is currently 45th on the Nationwide Order of Merit, had an eagle, seven birdies, two bogeys and three double bogey at the Victoria National Golf Club.
He is six shots back from American Omar Uresti who opened with a seven-under 65.