For those who want to inspect there dead character gear anyways, for what ever reason, simple follow these steps.
Open your profile/or friends - Have the Hero's tab open - then simply click the Archived tab.
Note this tab is only there if you have died in HardCore mode and archived a character. Then switch back to hero's tab.
This must be done quickly for it to work. It will then bug up and display all your dead character in the Hero's tab.
Now you can inspect each of them.