I think faucet is much more important in any casino, if there is a faucet I would suggest going to that website and playing with the amount given to you by the faucet and see if you will enjoy it, bitsler has it, primedice has it, stake has it and some other websites have it too. After playing with the faucet you can decide on what you want, if you like the website then you can continue playing with depositing some amount or if you dislike it you can just get out without ever spending a single coin yourself. That is what I have done so far and it always worked.
Not a bad idea, tho, trying out gambling sites thru their faucets first. There are a lot of trusted gambling sites out there with faucets as mentioned by wuvdoll. If you are looking for them you can check out Stake , it's easy to register since KYC is not required and upon registering you will have free BTC, ETH, LTC, DOGE, and BCH to try out their fun and exciting games. If you run out of balance, you can always get free crypto on their faucet.
Not only they trust the fact that their website is fair and they are willing to bet on it and even promote everyone to gamble with faucet first to see how fair and trusted they are but they are also confident that people will either lose that money anyway or even if they make money they will eventually deposit since their website is awesome.
There could be a small number of people who abuse faucets and make money with it without ever depositing but that must be really small number and they are willing to wager that faucets will make them profit more than it makes them lose money in the end.