There is no difference between using cryptocurrencies or fiat money when it comes to gambling responsibly. At least this is what I believe.
Whatever you do to avoid gambling irresponsibly when playing at a fiat casino, do it when you play at a crypto casino and you will be fine. It's as simple as that.
Members above gave you many useful tips and advices to help you control yourself and your budget when playing. Just follow what they have said.
Well, in my opinion there could be a small but important difference when comes to gambling with Bitcoin or other cryptocurrencies, in comparison to using FIAT. Take me as an example, I live in a place there a casino with high reputation is nowhere to be found, mostly because our government does not like casinos, so any gambling with Fiat stays small and probably underground.
If there was not for Cryptocurrencies, thousands or even millions like people in my situation would have no option to gamble (probably only to sport bet, but that is a different history, since it is easier to sport bet than gambling here).
Also, there could be some effect of dissociation between FIAT and crypto, similar to what casinos seek when they do people to exchange money for casino chips, it could be emotionally easier for the average user to gamble with satoshis than FIAT, but that is just my personal opinion, of course.