https://osxlatitude.com/forums/topic/10117-half-size-pci-wifibluetooth-card-for-airdrop1st basic rule re: Hackintoshing: get to know your hardware as they wrote at Dortania!
E6440 takes full and 1/2 mini PCIe cards. It's not really a matter of picking a card compatible with the E6440 (there is no whitelisting so any mini PCIe cards can be fitted), it's a matter of picking the card compatible with the target version of macOS. There too, look this up in our FAQ and in our Tech Info/R&D->Wireless sections. Just browse and search a little really...
Plenty of existing (old) threads on this very matter in E6xxx and Archive sections too. Eg:
https://osxlatitude.com/forums/topic/10117-half-size-pci-wifibluetooth-card-for-airdrop