The most recent price change was set 2 months ago. I am indeed an owner of a burning flamenco, but I will only list the current offers I have on my trade as well as the current offers of the other flamenco on the market. I don't use backpack.tf often so please feel free to leave suggestions.

My trade: http://www.tf2outpost.com/trade/11691468

$800 (Gyrovolve!- In current bud prices this is around 19-20. I checked his SOP rep thread, which was good and his trade history, which was clean. He recently bought a Secret TC with money with no problems whatsoever).

Clean Beams Samureye ~ (BlenderBird- 17-20 buds based on backpack.tf)

Secret to Everybody Stash + 1 bud (17.9-21 based on backpack.tf. I'd say it's more around 18 based on tf2outpost offers. The offer is thus worth ~19)

Time Warp Wraith Wrap + Roboactive Tin Gallon ~ (The Macho Nacho-

http://www.tf2outpost.com/trade/11867935

http://www.tf2outpost.com/trade/1162456

http://www.tf2outpost.com/trade/11453758 - the wraith wrap has offers of a v big kill (21-25 from backpack.tf, though I think it's more around 16-17) and the roboactive tin gallon can realistically be sold at 5-6)

Harvest Moon Brainiac ~ (Duck ☂ Step (GONE FOR 3 WEEKS- 17.9-18.9 based on backpack.tf prices)

Those are my c/o's; judge them how you will.

Other trade: http://www.tf2outpost.com/trade/11473837

Anti-freeze tyrantium (It's ironic because the antifreeze tyrantium price is largely based off the previous burning flamenco price of 13-15 (I sold the tyrantium for the burning flamenco), but this is the hat I offered him)

Clean Cloudy Moon Connoisseurs Cap + Clean Scorching Mancer, or 7 buds (This was also offered on my trade, which I turned down. The connoisseur's is around 10 buds right now and the guy offered to replace the mancer with 7 buds)

Those are his listed c/o's but he has turned down the same money offer by Gyrovolve!, a flies swatter, which is around 17-18, and several others. Take a look at his trade, though it isn't bumped as frequently as mine and consequently has less offers. 

The previous price of 14.2-15.9 listed evidence that pointed to a higher value. I don't know why it was lowered, but the guy who suggested the price even said, and I quote: 

"low: 17 buds from most recent (and only recorded) sale, also one person selling for 17

high: 19 from highest offer, it does have a huge amount of potential"

I always make my prices as objective as humanly possible, and feel free to make suggestions, or just vote based on how well the evidence was presented.

Thanks!