Yes, the blood of Christ keeps us with Him. However, there is only one punishment for sin (and rejection of Him), because there is only one sin.
God did not create Hell for us--He created it for Satan. Since sinners choose to be with Satan, rather than Christ, they get to be with him for all eternity.
In Hell.
I think we agree there is a “Hell”. I think the discussion is regarding what it will “feel like”. And what does it really mean?