You can pray God bless me with a peace of mind.
Thanks!
My Dreams, "Peace of mind" is a consequence of being in a right relationship with God. What you are asking is that we begin to act God like. What we can pray is that God will draw you further into His loving embrace such that you will have "Peace of mind." However, you have your part to play in this, in that you also have to respond to God's drawing of you to Himself.
It will be your total faith and belief in God and the redemption of Christ on the cross that will bring about the "Peace of Mind" that you desire.
God is not a puppet where we can control Him by our prayers or the requested prayers of others, that you ask for, to change your circumstances.
What you can pray for yourself is for the renewing of your mind such that you are content to put on your refurbished personhood in Christ/God and live out your life wholly abandoned to Him. The witness to others of you living your life wholly abandoned for God will bring much fruit into your life and a peace that passes all understanding such that you will be a blessing to all others as well.
Shalom