In theory, it is possible to get the Serial and Serial2 pins working in SPI mode, but nobody has written a library to do this yet.
There are no female SPI connections which work with the current hardware SPI library on the Due. The only way is to use the male SPI pins - use connectors like these: Jumper Wires Premium 12" M/F Pack of 10 - PRT-09385 - SparkFun Electronics - don't use croc clips or similar because it's too easy to accidentally touch against the 5v pin and damage the SAM3X.