If you have the space, certainly V-flats (e.g., two, 4' x 8' white/black sheets of Foamcore, taped lengthwise to form a 'V') are the way to go, and is generally the way pros light all-white coves/seamless set-ups. I set up an impromptu white-background set-up recently with only a few feet separating the subject from the background.
I've posted these before in the "set-up" thread, but here they are again for the sake of this discussion. My goal was to illuminate the background paper to just a hair over 255/255/255, in order to minimize any spill onto the subject (especially when distance to the background is so tight):
The image above is straight-out-of-camera, with no post-processing applied to the background. Because the flash-to-background distance was so short, and the reflectance of the Savage paper so high, I had to dial my strobe down to minimum power (7Ws), plus add a pile of scrims and diffusers in front of it:
I probably could've used another full-Polysilk to knock it down even further (some of the subject's hair is burning out), but this was all I had handy at the moment.
Power settings:
• Elinchrom ELC Pro HD 500 + Rotalux 39" octa for the key; power @ 2.3 (33Ws).
• Elinchrom ELC Pro HD 500 + Rotalux 24" x 31.5" + Rotagrid for the back/kick; power @ 3.3 (65Ws).
• Elinchrom ELC Pro HD 500 + frost deflector on the background; power @ 0.3 (7Ws).
• Seamless paper: Savage Super White