Resuggested at 2-3 ref, as per the suggestion of A Distinct Lack of Vincent.

The Proofs

Sellers

http://www.tf2outpost.com/trade/18145758 --- 2 ref -- Sold within 3 minutes

http://www.tf2outpost.com/trade/18164478 --- 2 ref -- Got an add within 3 minutes of making the trade

http://www.tf2outpost.com/trade/18194988 --- 2 ref -- Sold in 11 minutes

http://www.tf2outpost.com/trade/18146828 --- 2 ref -- Sold within 20 minutes of making the trade

http://www.tf2outpost.com/trade/18145050 --- 2 ref -- Sold in 22 minutes

http://www.tf2outpost.com/trade/18171619 --- Sold for 2 ref in 6 hours

http://www.tf2outpost.com/trade/18162704 --- Sold for 2 ref in <19 hours

http://www.tf2outpost.com/trade/18174398 --- 3 ref (has two buyers in 10 hours. Appears to have sold all four, according to his BP)

http://www.tf2outpost.com/trade/18165857 --- Willing buyer at 3.66 (has Soldiers killed part. Factoring in his valuing of the part, the Zatoichi would sell for about 2.66)

http://www.tf2outpost.com/trade/17432846 --- Sold for 3 ref one month ago (not sure if this is even useful, but I'll leave that to the voters/mods to decide)

Buyers at or above current price

http://www.tf2outpost.com/trade/18185092 --- 2.00 (new)

http://www.tf2outpost.com/trade/18184285 --- 2.00 (new)

http://www.tf2outpost.com/trade/18161123 --- 2.22 (20 hours)

http://www.tf2outpost.com/trade/18182907 --- 3 ref

http://www.tf2outpost.com/trade/18190006 --- 3 ref, but doesn't appear to have got one

Classifieds

http://backpack.tf/classifieds/search/id/52d221754dd7b8173c8b4568 -- Still no sellers within the range

~QED