I think what OP talking about here is some exchanges that have some feature that there is some external software or service that are able to execute a trade without any access on the user's log in credentials or not able to withdraw anything, just execute a trades only. And one of the example of that kind of feature is Bitmex, where Bitmex provide an API keys for their user, and those API keys can use to execute a trade (based on the rules/what can do of the API key set up by owner of the account).

So, my suggestion is Bitmex for the trading platform. Since I already tried to use their feature that no direct access to the exchange accounts of the user.

If the OP want some automated software that will able to do the work like executing the trades, I don't if there are some public software already available for this. Since last time I saw advertised was some paid premium signal group which offer the same feature I said.