LCD Display not working, always white and random bars
Have you tried messing around with the lvds connector? (i mean simply disconnecting it and reconnecting again) I'd try that. Also, hot boot or cold boot? 

As for the lcd I'd just replace it with the one made specifically for your model, connectors might be diff. like the camera connector, wifi antenna etc. - a lot of catches in general. I guess you could try getting a retina display for your model, retina and non-retina come in the same case 

Also, try searching for some louis rossman video on youtube about a problem similar to yours, he's a saint.