Sorry. The 8 part would fit, but no way on the 11. I would recommend doing a two layer round cake instead. That would pobably fit. Might have to remove a shelf, but no biggy there. Otherwise I would check with the front desk, see if they can accomodate the cake until you are ready.
I don't know, I remember those fridges being awfully small. I remember having a hard time getting our to go boxes to fit in there, and those weren't very big.