Baryla was outside the top 50 after shooting a 72 in the first round on Wednesday, but his sensational round at the Orange County National Crooked Cat course put him in position to earn a spot on the 2011 tour.
The top 25 finishers in the six-round tournament will become fully exempt for next year's circuit.
Both the par-72 Crooked Cat and par-71 Panther Lake courses are being used for the 108-hole event with players rotating between them over the six rounds.
Baryla stood at 11-under with a two-shot lead over Ben Martin, who shot a 68 Thursday. Tied for third at 8-under were first-round leader Kyle Stanley and Sunghook Kang.
Four-time tour winner Carlos Franco moved into a share of fifth place at 7-under after shooting a 66.
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