I can't see anything wrong with your wiring. I have had my nRF24 working with an almost identical setup.
What regulator chip are you using?
I am using an LD33 which I believe is identical to an LD1117. I have a 0.1µF cap across 5v and GND and 10µF across 3.3v and GND as recommended in the LD1117 datasheet. I think I also had a µF cap across Vcc and GND for the nRF24
...R