Alright if you really need all the data off the computer i would recommend sending the computer to someone who can repair the logic board rather then trying to fix it yourself and risk losing everything. As the SSD is soldered on and you would need to unsolder it from the first board and solder onto a second all requiring very good quality and expensive hot air stations. Sorry this probably isnt what you wanted to hear but its going to be your best bet to get all your data.