I had a littlle old lady pull out in front of me in the miata and have mild damage to front quarter panel

. Need advice on repair shops in the Durham area. Other drivers insurance will cover 100% if I use someone on their list, otherwise will offer me check for whatever the adjuster feels is fair. They could also negotiate with vender not on the list. (first 6 from list below)
1. AUTO SHAPE RTP
SAL TINERVIA - Contact
4308 S ALSTON AVE DURHAM NC 27713-5274
2. UNIVERSITY AUTOMOTIVE COLLISION C
STEVE HALL - Contact
3737 CHAPEL HILL BLVD DURHAM NC 27707-
3. AUTOBODY AMERICA
STAN ADAMCZYK - Contact
3410 CHAPEL HILL BLVD DURHAM NC 27707-
4. RICK HENDRICK CHEVROLET
STEVE DARNELL - Contact
409 S ROXBORO ST DURHAM NC 27701-3630
5. JOHNSON COLLISION CENTER
MARK YATES - Contact
722 IREDELL ST DURHAM NC 27705-4805
6. JOHNSON'S BODY SHOP
STEVEN LEWIS - Contact
2121 FAY ST DURHAM NC 27704-5014