Welcome to the forum!
I was drawn to this as you have the same PC and drive as I do, and may be able to answer your question about removing the side of the PC case to reach the drive/connections (yes, you will have to do this!).
Assuming your case is the same as mine, you just undo the screws on the back of the tower, holding the sides of the case on.
Now, on mine, I just unscrew the left hand side of the case, and can get to the drive/motherboard SATA connectors from there. So just try removing the left hand side first, hopefully you won't need to remove the right, unless your PC is different to mine inside.
Hope that made sense, LOL!
EDIT: BTW, I recently installed the DW10 firmware from the Dell site, if you want to give that a shot.