You need to show the effects of the hats it sold for, and make minis if needed (if outdated or duped like the Shanter)

https://backpack.tf/profiles/76561198057575165#!/compare/1607731200/1607817600

https://backpack.tf/profiles/76561198134220286#!/compare/1607040000/1607817600

You're saying "around 120" but you need to prove it (you also said 140 in a previous attempted suggestion...). See, we don't want approximations here

Another usable sale :

https://backpack.tf/profiles/76561198104146629#!/compare/1602979200/1603065600 115k

You'll need to include it in a range (after proving what it sold for in your trade...)

Instead of giving up, you should read carefully the rules : https://forums.backpack.tf/topic/6033-rules-for-unusual-price-suggestions/

If you're now mentioning 120 keys, where did 115 and 140 from your other suggestion come from in the first place?

Edit: I read ApothicR's comment and now I understand where 115 comes from (the proof of that sale should have been in your suggestion)

I still don't quite know where you're getting 120 from for the other sale though

https://backpack.tf/item/8169514841 - This was the Bat Hat

https://backpack.tf/item/752023251 - This was the Billycock

https://backpack.tf/item/7031386656 - This was the Sky High

https://backpack.tf/profiles/76561198057575165#!/compare/1607731200/1607817600 - The only Tam sale was 64 Keys

The Bat Hat, Sky High Fly Guy, and Billycock are all outdated, so they will need to be looked into before this can be priced.

If you need help finding sales for any of those, feel free to ask.