Any attempt to extradite Abu Hamza will be (probably sucessfully) opposed on the grounds that he might face the death penalty in the US.

One solution would be for the US Government to take the possibility of the death penalty for the cited offences off the table. The extradition rules don't say anything about life imprisonment somewhere less than conducive to comfort (Alaskan wastes, Arizona desert, Guantanamo etc.).

As his British Citizenship has been revoked and he was originally Egyptian, his family should also be deported to Egypt - let his extended family support the rest of them.