For a typical DIY "curry", for which I partly cheat and use a jar of sauce for the main flavour plus some chicken, and then bulk it out with more chopped tomatoes, peppers, chickpeas, etc., I find that the jar of sauce plus chickpeas provides sufficient carbs.
I often eat it with poppadums as they are fairly carb light, and would never eat rice and certainly not a naan bread in addition as otherwise I'd need loads of insulin. Which is asking for a long night of trying to balance running low vs correction doses and just lots of general monitoring.
If I'm out for a curry (in the UK) then I'm happy to eat rice and a naan in addition to whatever main I get as I always go low (when out, rather than when eating curries that is!)
When in India, I don't recall having any problems. I do remember the food was lovely (I only ate vegetarian to avoid problems with meat), and that portions were smaller and more varied and that because of this and the very high levels of spices, I certainly wasn't all that hungry for carb-heavy fillers like rice and naan bread.