The quintessential scrim scarf /face veil. Look for the two color version or the solid green version not the DPM version. Keep in mind this has a bit less utility than the headover but make excellent additional camo when stationary.
The UK issues a wool headover can be used as a scarf, hat or a balaclava. They are basically a tube of fabric in OG and they serve many more functions than a simple scarf. Never wear these like a WWII German toque…ever.