One car has a rear facing cowl induction with a high rise hood and a stainless steel cold air box that I made; and doesn't get that dirty.
On another car I made brackets and installed flush screening under the hood holes so pressure from air flowing over the hood pulls air from inside and keeps it pretty clean.
Another alternative, make a removable cover, paint it black so it won't be noticed
and remove it when you want to show off the car.
I would screen it, though. If you pay for the screening, I can help you install it.-Bob
.......screening also keeps birds from getting sucked down into
the motor when you floor the gas....