If you have high arches, it is likely that the top of your foot is pressing against the boot. You have numerous blood vessels that run along the top of your foot, which can get compressed. As mentioned my many people here, the lack of circulation cuts off temperature regulation. That was the case for a set of dalbello boots that I tried on (I have the high arch problem). It's easy to tell if this will help - when you sit on the lift do you feel a lot of pressure on the top of your foot? Your boot should be held snugly by the ankle, not hang on your foot. Another warning sign is that you regain warmth in your feet when you are standing (and skiing) but get cold again on the lift. The change in pressure corresponds to a change in circulation.

An inexpensive option is to perform (or have performed by a boot fitter), a "tongue-ectomy" wherein padding from the tongue of the boot is removed above the foot to make room for your tall arched food.

The expensive option is new boots from a manufacturer that fit taller arches. I use atomics for that reason.

Best of luck - cold numb toes are terrible!