Closed Sicilian: Grissini Variant
As a black player, after 1. e4 c5 2. Nc3 Nc6 3. Nf3 g6 my first concern would be white playing 4. d4 which I think would be an accelerated fianchetto in an Open Sicilian. My guess is that most black players would not normally play this variation and would play a different 2nd or 3rd move which could avoid your variation above.
In the position after Ra3, I don't know what your next move is after I castle. If you don't do anything, I am going to play e5 and d5 and dominate the center. If you play e5 I'll play Ng4 and dare you to take on d6 and open the e-file. If you play Bg5, I'll chase it away with h6 and g5 and can grab the bishop with Nh5 if it goes back to g3. I'm all for some tactical chaos, but I'm not sure where it's coming from here.