Declined Report: 76561198020220195 (Sawce Baws) and 76561198063813813 (the one)

Long story short I was looking to sell my hat for money, and got a little too trusting.

Chat logs here : http://pastebin.com/KjLrqbTN

Steam profile (the one) : http://steamcommunity.com/id/12345679812/
Steam profile (Sawce) : http://steamcommunity.com/profiles/76561198020220195/

Forgot to mention what hat it was.

Steaming hat with no name

For the admins

Scammer #1
steamID: Sawce Baws
steamID32: STEAM_0:1:29977233
steamID64: http://steamcommunity.com/profiles/76561198020220195
customURL:
steamrepURL: http://steamrep.com/profiles/76561198020220195

Scammer #2
steamID: the one
steamID32: STEAM_0:1:51774042
steamID64: http://steamcommunity.com/profiles/76561198063813813
customURL:
steamrepURL: http://steamrep.com/profiles/76561198063813813

Do you happen to have screenshots of the following:
1) The chat logs
2) Paypal History
3) Trade history

I'm afraid I do not. Does this mean there is no hope in getting my item back?

Unfortunately, without such screenshot evidence, there isn't much the admins can do.