I do not treat the Blood of Christ as a common thing that I can cast my daily sins upon. The offering of His Blood was a one time offering for all the sins of the flesh for all time; and as the scripture says, there remains no more sacrifice for sin. Now the Lord did not come that I might be made perfect without any sin, but rather that I might serve Him in Spirit with a clean consciousness from my sins in the flesh. So with this clean conscious I am not riddled with the guilt and condemnation of one who clings to death, but rather as one who is free to glory in the righteousness of the living Christ by His Faith and through His Grace.
I should not think to cast my daily transgressions before the Blood of Christ's sacrifice. If I were to ask Christ to forgive me of my sins by cleansing me of my unrighteousness in His Blood, then to me it would be like saying that I don't trust that these sins were already covered in his blood or that they have already been forgiven me, or I would not ask them to be covered in his blood and forgiven me. So because I believe in his sacrifice, being once for all time, then I can accept his forgiveness once for all time, and learn to walk humbly in his Grace by Faith.
The sins of the flesh are dead works, and if I should bring these dead works before the Lord and cast my daily transgressions upon the cross and upon his blood, then would I not be doing what Paul describes in the book of Hebrews by crucifying Christ to myself again, and in doing so put him to open shame (Heb 6:4-6). I should not want to be found putting the Lord to open shame. I shall trust to His Grace.
Psalms 25:8-10
Good and upright is the Lord:
therefore will he teach sinners in the way.
The meek will he guide in judgment:
and the meek will he teach his way.
All the paths of the Lord are mercy and truth
unto such as keep his covenant and his testimonies.