The Horned Frogs' 297 is just five strokes behind second place and No. 22 Kent State. No. 4 Arkansas shot an even-par 284 and is in the lead.
Shin, in just her second tournament as a Horned Frog, shot par on her opening 10 holes. The Norwood, N.J., native had a birdie while recording par on 15 holes. Her 1-over-par 72 is tied for sixth and just four strokes off the pace set by Arkansas' fifth-ranked Maria Fassi who shot a 68.
Do had a pair of birdies and is tied for ninth.
"We played in really tough conditions and the ladies stayed strong and fought hard," TCU women's golf coach Angie Ravaioli-Larkin said. "We still left a few shots out there, so there is room for improvement.
"We need to let go and let it happen as well as capitalize on our short games and 'be a player' mentality."
Brooke McDougald had a team-best three birdies, all coming in a five-hole stretch.
TCU's second-round tee time Monday is at 6 a.m. CST. Live scoring is available at Golfstat.com.
1. Arkansas - 284
2. Kent State - 292
3. Iowa State - 296
4. TCU - 297
5. NC State - 299
6. Maryland - 302
7. East Carolina - 303
8. Augusta - 305
9. Nebraska - 309
10. Colorado - 310
11. Purdue - 312