Jesus was never in the clutches of satan when He left His body and was down in hell.
1 Peter 3:18,19
For Christ also hath once suffered for sins, the just for the unjust, that he might bring us to God, being put to death in the flesh, but quickened by the Spirit:
By which also he went and preached unto the spirits in prison;
Jesus suffered on the Cross while He was still in His Body, after that we have no record in scripture of Jesus suffering torment at the hands of the devil after He left His Body.
1 Peter 3:18-19 does not say when exactly after His death the Lord went in the Spirit to preach to the spirits in prison. So, I would say that your absolute certainty is somewhat unfounded. He could have gone after His resurrection, since Mt. 28:52-52 says some dead were raised after His resurrection and visited family. Also, Zec. 3 describes what seems to me to be Jesus after His resurrection Sunday meeting with Mary Magdalene, ascended to the Father still clothed in our sin, where He seems to receive back the glory He had had with the Father before the world began. And Ps 18 describes Jesus being held by an enemy too strong for him until God reached down and releases his soul from Satan's captivity. So, though we are looking at the same texts, we might have spomwhat different perspectives on what they are saying.
What are the presuppositions that undergird your conviction that Jesus was not suffering between His death and resurrection, as one voluntarily bearing the sin of the world would be expected to suffer after death?