I know most of the big exchanges, Gemini, Coinbase, Kraken, etc -- are going to ban you from their services if they see you deposit and withdraw (to their addresses, without another wallet in between) to gambling sites. They're going to be required to do this by law, and they don't want to face the scrutiny of the government for not doing it.
Just make a wallet on Electrum and send your deposits to there (mix it if you want, though probably not required) then use this as you please.
Use a wallet which you can download and use on your desktop just like electrum. Because then you dont run into issues as the above user from a few posts above mentions with in bitpays terms and services which to use their service for gambling is prohibited. Just like what coinbase does to the accounts they find sending funds to gambling sites.
Atleast with a wallet right on your pc your dont have to worry about where you send your funds too and possible loosing access to them and your account due to crossing their terms of service agreement.