Hotkeying/Binding Newly Created Units For The Player?

Is it possible to hotkey a unit for the player via triggers? I have a hero that is constantly remade so it's a problem having to rebind him to keys.

No. The best you can do is use F1-F12 (the hero icons) as hotkeys. Or you could have an ability that is cast when, say, the Q key is pressed, upon the casting of which you select the proper unit for the player.