Sweat control with new helmet?

I recently "upgraded" from an old Giro Hammerhead road helmet to a new =
Giro
Eclipse. The improved ventilation and lighter weight is nice but sweat
control is a bigger problem than even. The new helmet provides more
coverage to the skull so there's no place for my usual sweat band. Also,
the little built-in sweat pads are smaller than ever.

Why can't helmets do a better job of sweat control?

What do you do to keep the sweat out of your eyes?

Ideas welcome. TIA

lorendi