I think this could be substituted for a better practice.
Although I’m not sure of your reasoning, I think a better option would be to create an icon corner, or another suitable place in your home that could be used just for prayer. The cassock itself is meant to be street wear, to identify a person as a cleric. Seminarians wear cassocks at certain times out of tradition (small “t”), since they were formerly the lowest order of cleric (until Pope Paul VI Ministeria Quædam in 1972). Altar servers only wear cassocks and surplices because they were formerly standing in for clerics.
While your desire is admirable to be clothed in Christ is admirable, I feel like it’s not what the cassock & surplice is meant to be used for.
By buying a few religious icons (eastern-style icons, crucifixes, et c.) and dedicating a small part of your home to prayer, you will be able to foster a spiritual environment, which may help you in “surrounding yourself with Christ,” so to speak.