When I was (1) racing and (2) sticking closely to my diet, which wasn't low carb by design but was by default, I was perpetually hungry. I forget if you race? There are a couple of threads here about low carb cycling, including a few racers.
But gluten free doesn't have to be low carb if you don't want it to be. Basically it just means less processed foods, and that's always a good thing! If you do get a hankering for pasta, Tinkyada rice pasta has the best texture of anything I've tried.