okay...
If you don't want to install a heatshield and you are complaining about heatsoak I strongly suggest you re-install the stock airbox. (which you proceeded to destroy by cutting it up!)
If you don't like that idea you are just plain SOL...
There is NO OTHER WAY to stop the filter from getting heatsoak then either protecting it from the hot underhood air wash with a heatshield (which you don't want to do!) or enclosing it in an airbox with an OUTSIDE THE UNDERHOOD ONLY air draw. (which is how it came stock!)
How exactly do you plan to stop the heatsoak otherwise?
