Every external PCIe adapter I have seen is limited to PCIe 1x speeds, a 760 would be bandwidth limited by that. If you want to try it you may as well use a cheaper card like a 750 or even slower.
External GPU? May not be worth the trouble. Your CPU is okay. Even a lesser CPU wouldn't prevent from using that GPU, but it would pose a bottleneck (hinder performance).
Every external PCIe adapter I have seen is limited to PCIe 1x speeds, a 760 would be bandwidth limited by that. If you want to try it you may as well use a cheaper card like a 750 or even slower.