I get the feeling that you're determined to shoot a 5575 and a 175gr head. I would agree with westbrook that a 3555 might be a better bet. You can shorten them down a bit and get quite a lot of stiffness out of them.
I can shoot them out of my 47@28" bow that is 50
# at my 29" with anywhere from 145 to 190gr points. The 190s make them a bit weak and they hit a bit lower, but they don't fly bad at all at 20 yds. 145 to 175 fly really great. I shoot 145gr field tips and 160gr Zwickey 2-blades. Mine are cut 30.25". I'll bet you if you start a little on the long side with 175s and start cutting back, you will see some nice flight before you get below 30".