Autofire any key with Autohotkey?

This script "autofires" E while holding it down.

    $e::
While GetKeyState("e","P")
{
    Random, r, 50, 250
    sleep r
    Send e
}
return

Is there a way to globally use this script for any key?

For example: Holding A, will autofire A and Z will autofire Z, etc.

Without manually assigning every possible key on the script.