This statement still does not have want you want in it. It still does not have Christ paying the penalty for sins which will be punished again in hell.
Don't you see that is the very belief Hodge is renouncing as not being orthodox when he writes:
"This doctrine, that the sufferings of Christ amounted to the aggregate sufferings of those who are to be saved, that he endured just so much for so many, is not found in any confession of the Protestant churches, nor in the writings of any standard theologian, nor in the recognised authorities of any church of which we have any knowledge. The whole objection is a gross and inexcusable misrepresentation."
Its fine to disagree with a fellow Calvinist...it happens all the time. But don't attack the messenger for pointing it out.
And the "available" of your quotes is no problem for most of us Calvinists, if you understand what is meant by it.
Salvation is available for all (as in every single person) in the sense of the Gospel call is extended to all
But THAT is NOT the point Hodge is making. He is arguing for the genuine appeal of the gospel to all mankind by appealing to the fact that what Christ accomplished for the elect particularly is likewise sufficient for every individual to be saved. In other words, the legal impediment has been removed making the salvation of EVERYONE and ANYONE by Grace through faith possible...IF they have faith, which of course they WON'T unless first regenerated according to Calvinism. This is why Calvin and the others say that 'NOTHING keeps them from salvation save their own unbelief.'
But in the technical sense N
NE should believe that Christ paid for sin and then God expects that same sin to be paid for again in hell.
And Hodge addresses this concept of Christ suffering just so much for so many in the quote above. His view is well established on this subject and if you want to disagree with it, fine...do so. But stop pretending you see eye to eye with him on this subject because you don't.