I opened your photos on my monitor, iMac calibrated and they are a bit red, but nothing that could not be fixed. I am waiting for your comments when you have tried new shots after you reset to factory default
I used a WB tool from aperture to see how it would react and it slightly removed a bit of the red, not enough on the man, however I simply used one click in a grey area.
I then used my normal tool, nik software as a plug in and used color efex pro and used the remove color cast filter. It did remove enough of the red by default to make it look good on my monitor
I am also wondering why you use sRGB for shooting. I would have thought RGB for shooting when you will print and sRGB if you post them on a web. I might be wrong but would try this also.
I would also make sure I take a shot without the flash or strobe and this in manual setup as what you are going to use for the final photo, and see if anything appears on your screen. If it does, I would increase the shutter speed till I can remove all ambient. I guess your D700 can be used up to 250, however at low ISO, you will lose the ambient below 200 already.
In the end, once you have checked with the default settings, and check if use RGB and get a result from a lab on a print, if you want to reduce the red you can modify it in your camera setting and create a new default position. And get it to what you want for your taste.