Max Recommended Idle TCP timeout and Keep alive interval

no one can give you an exact max recommended setting because we don't know your environment. what works for one doesnt for another. i would go with the advice from this K article: https://support.f5.com/csp/article/K7606

In most cases, F5 recommends that you set the idle timeout to a small-as-possible finite value.

so talk with the people running the scripts or the admin of the server where they run these scripts. what is a valid maximum time these scripts can run. then adjust based on that.