I see no blame going on here at all - quite the opposite - God is taking responsibility for what happened, even though it is abundantly clear from the story that Job's disasters were the initiative, and directly caused by Satan.
The operative Hebrew word here is סוּת (suth) which means (BDB): "incite, allure, instigate". Here, God is actually saying that He allowed Satan to incite/allure Him to ruin Job, despite the obvious fact that God only allowed it while Satan actually worked the ruin.
This is part of a consistent pattern in Scripture as far as soteriology is concerned. God takes responsibility for man's sin, even though God is not directly responsible for sin and is not sinful at all!
Technically, this is known as the great divine exchange and is best expressed by Paul as listed below:
- 2 Cor 5:21 - God made Him who knew no sin to be sin on our behalf, so that in Him we might become the righteousness of God.
- Gal 3:13 - Christ redeemed us from the curse of the law by becoming a curse for us. For it is written: “Cursed is everyone who is hung on a tree.”
- Rom 5:8 - But God proves His love for us in this: While we were still sinners, Christ died for us.