I'd like to think the Heer's will surpass the Stahlhelm as the most expensive medic hat (Beak isn't a "hat") but then again I'd also like to think Dead Presidents should be worth more than it seems to be so what do I know.

Sold for a TF Logo Noble Amassment (~2.4, price is being updated http://backpack.tf/vote/id/53449c854dd7b827048b4602 )

http://www.tf2outpost.com/trade/18731761 (History of Heer's)

http://www.tf2outpost.com/trade/18500813 (History of Noble)

Offered on (and sold for) a Dead Presidents Samur-Eye (~2.4)

http://www.tf2outpost.com/trade/18558544