After trying these suggestions with a thinner SSD and couldn't get anywhere I used a bent paper clip, L-shaped, to act as a hook. One end I was able to simply hook under the drive and pull it up to install that ends screw loosely. The opposite end I inserted the paper clip through the antenna grate, again pulled up on the drive, installed the screw and carefully pulled the paper clip out.
I found that slightly lifting the board allowed me to get the connector in a better position to rest on its female counterpart. Then with a smudger just push it into place.