Lee in his current position is projected to climb to 146th on the Fed Ex Cup Standings. He needs good results throughout August to climb inside the top 125 players and qualify for the Barclays at the end of the month.
His best result for 2012 is a tie for 15th at the HP Byron Nelson Championship in May.
His other highlights include carding a nine-under par 63 at Pebble Beach and making a hole in one at the Humana Challenge.
Manawatu pro Grant Waite, the only other Kiwi in the field, had a day to forget with an 11-over par 83 which equated to a -12 score in the modified stableford points scoring.
Meantime on the web.com Tour, formerly the Nationwide Tour, another Manawatu pro Tim Wilkinson has carded a four-under par 67 to be tied 30th at the Cox Classic.
Wilkinson, who is currently 54th on the Order of Merit, made two birdies and a bogey on the front nine to make the turn in one-under par at the Champions Run Golf Club in Nebraska.
He made two birdies and a bogey on the back nine before recording an eagle at the par 5 17th to jump into contention.
The former PGA Tour player will begin round two five shots back from three Americans Luke Guthrie, Bubba Dickerson and Aaron Goldberg who opened with rounds of nine-under par 62.
Wilkinson needs to finish in the top 25 on the web.com Tour Order of Merit to get back on the PGA Tour.