As the SD card needs the SPI, can you move the LCD to other pins, do you have a shield or wires?
I'm sure the LCD code can be modified to change the pins ( unless its SPI also ).
EDIT: Just had a look at the LiquidCrystal library, the pins are set in the constructor so it should be an easy fix if you have spare pins ( and aren't using a shield )
You only need to change pins 4, 11, and 12 according to your pinout lists.