I would go no higher than 12T with that motor. I'm using that pinion with the 4600 motor on 2s and I think it gets too hot when it is warm outside. The 5700 will just be hotter, but you might find it acceptable as I am kinda funny about anything over 130*F...
I actually was using the clip-on fins. On 3s, I would go to a motor with a kv of about 3500 or 4000. The 5700 is gonna be really fast on 3s. maybe you could go to a 10T pinion then (if available)?