Well, for starters, this idea of allowing cold(er) air into the intake is by all means a great idea, no matter what it looks like (as being the last on importance).
I have read many posts, but can see an easy fix, as I plan to do to my factory air box.
1. Remove and clean airbox.
2. Design at least two intake tubes (flexible hose add-on kits) to travel from the grill area to the sides of the airbox, attaching to each side...left - right in the front...
3. Drill holes to get a access for tin snips to cut holes out for air intake tubing. Spray heavy coating of "Rubberized Undercoating" on airbox, except for the top removable lid.....this will help keep inside of airbox temp lower than not having it insulated
Re-install airbox, and continue using factory design air filter.
4. Make sure you have a tight fit, possibly using a latex rubber caulk to seal on the outside tube fittings, and spray paint to match flat black factory air box, or desired color of choice.
Now with this idea, you have improved air cooling to engine, and a somewhat factory modified look. You could even use chrome/silver looking flex tubes for added visuals

.
Bottom line is with this plan, you maintain factory look/useage of airbox, and for the money this is your smartest fix with added cooling capacity to engine intake temp. Just makes sense

.....but if anyone has any other idea, or improvement to my idea, let us hear it first right here.....
Merry Christ-mas

& Happy New Year
Attached: My next preference of transportation! lol!