Resuggesting with a new range. Thank you to Icycrevasse and CanewithaK for the help with this suggestion.

Item 1

https://backpack.tf/item/1628278109

Sale 1

https://backpack.tf/profiles/76561198016691550#!/compare/1695945600/1695513600

https://backpack.tf/profiles/76561198347872221#!/compare/1695945600/1696377600

268 keys, but I'll round it to 270 keys.

Sale 2

https://backpack.tf/profiles/76561198016691550#!/compare/1697155200/1697500800

https://backpack.tf/profiles/76561199240976002#!/compare/1697414400/1697500800

Seems to be traded for a Shining Star Decorated Veteran. It is unpriced, so I can't use it.

Item 2

https://backpack.tf/item/994270607

Sale 3

https://backpack.tf/profiles/76561198089952821#!/compare/1694390400/1694563200

https://backpack.tf/profiles/76561199315621199#!/compare/1694390400/1694476800

Traded for a Exorcism Spelled Spec KS Rust Botkiller Stickybomb Launcher. Unclear what else it was traded for. Can't use this.

Sale 4

https://backpack.tf/profiles/76561198043914746#!/compare/1696896000/1697241600

https://backpack.tf/profiles/76561198089952821#!/compare/1696723200/1696896000

276 or 280 keys - not clear which is the exact number of keys, but I'll round this to 280.

Sale 5

https://backpack.tf/profiles/76561198043914746#!/compare/1698019200/1698364800

https://backpack.tf/profiles/76561198088762033#!/compare/1698278400/1698364800

295 keys.

Sale 6

https://backpack.tf/profiles/76561198088762033#!/compare/1699228800/1699574400

https://backpack.tf/profiles/76561198285371555#!/compare/1699488000/1699574400

Stormy Storm Yellow Belt + Strange Exorcism Spelled Pro KS Festive Crusader's Crossbow + Strange Pro KS Fan O' War + 105 keys for an Amaranthine Wet Works. Can't use these because of the unpriced spelled weapons.

Item 3

https://backpack.tf/item/457409705

Sale 7

https://backpack.tf/profiles/76561199139394142#!/compare/1699574400/1699660800

https://backpack.tf/profiles/76561198154142921#!/compare/1698537600/1699660800

Untraceable

Sale 8

https://backpack.tf/profiles/76561199139394142#!/compare/1700438400/1700352000

https://backpack.tf/profiles/76561199139394142#!/compare/1700352000/1700438400

Untraceable

Sale 9

https://backpack.tf/profiles/76561198330699459#!/compare/1700352000/1700438400

https://backpack.tf/profiles/76561198017387638#!/compare/1700265600/1700438400

Untraceable

Sale 10

https://backpack.tf/profiles/76561198017387638#!/compare/1700524800/1700697600

https://backpack.tf/profiles/76561198049096040#!/compare/1700611200/1700697600

Seems to be traded for a Green Energy Legendary Lid, but the other contents of the trade are not traceable. Excluding this one.

Suggestion

270, 280, 295

I'll suggest 270-295 as the range.