The last price suggestion for this was closed quickly because it didn't have proof, but this can definitely use a bump, so I return with proofs and an intention to steal other people's virtual karma points. I don't even have a Strange Bat in my inventory. FEAR ME.

Buyers

[url]http://www.tf2outpost.com/trade/8686743[/url] - My own trade, trying to buy at 0.22 (lower end current bp.tf price) for over a day with autobump, not a single add.

[url]http://www.tf2outpost.com/trade/8515398[/url] Buying at 0.22 for a week. No bats.

[url]http://www.tf2outpost.com/trade/8496024[/url] Buying at 0.33 for a week. No bats.

[url]http://www.tf2outpost.com/trade/8618042[/url] Buying at 0.33 for 3 days. No bats.

Sellers ordered by price/value of offers

[url]http://www.tf2outpost.com/trade/8607393[/url] Sold at 0.33 (multiple adds in comments, none in bp anymore)

[url]http://www.tf2outpost.com/trade/8675954[/url] Sold at 0.33 (trade still open but none in his bp)

[url]http://www.tf2outpost.com/trade/8672612[/url] Sold at 0.33

[url]http://www.tf2outpost.com/trade/8466925[/url] Recent 0.33 offer, two 0.44 offers week ago

[url]http://www.tf2outpost.com/trade/8644863[/url] Multiple rejected 0.33/0.44 offers

[url]http://www.tf2outpost.com/trade/8650728[/url] 0.44 offer

[url]http://www.tf2outpost.com/trade/8700547[/url] Selling for 0.44, at least one add.

[url]http://www.tf2outpost.com/trade/5604278[/url] Offers - got recent 0.44 and 0.55 offer

[url]http://www.tf2outpost.com/trade/7272872[/url] Sold at least one at 0.66 past two days

[url]http://www.tf2outpost.com/trade/8660536[/url] Sold at least one for 0.66

[url]http://www.tf2outpost.com/trade/8650415[/url] At least one add for 0.66

There don't seem to be many Strange Bats at all, hence relative lack of links. I have kept 0.33 as the low point because I still found some trades for that, but even that is hard to get. People willingly offer 0.44/0.55; a decent amount of Strange Bats have even sold for 0.66