Shoot tethered on capture one / lightroom ( I prefer capture one).
Use a colorchecker or grey card to have a good start and pick white balance.
Start shooting and if you see some colours that aren't right (usually greens, pinks, reds), shoot the outfit and adjust one of the pictures immediately after using the color wheel (I use the advanced wheel on Capture One) and apply to the rest of the images of that outfit.
Shoot next outfit.