Wazoo, great idea. I can tell you from my own experience that after I "completed" the set I did a back run. It took me five years , but it was the most fun I've had with this set.
It sounds like you made a good choice with Schlei. There is no killer back ( Uzit, Drum, BL460), you have the toughest already, and because the player is a common the rest, when you find them, shouldn't be too expensive.
So good luck and let us know how you are progressing.