How to use F5 to connect to multible SERVICE_NAMES

While you could technically do this, I can almost guarantee you're not going to like how you'd have to do it. In short, what you're talking about is parsing a binary protocol and looking for some data in that protocol (in every request) for something that is unique to a given database. Depending on the type of SQL you're talking about, that's not always possible and never easy.

Is there ANY way that you can use different destination IPs? Something outside of the protocol itself to differentiate traffic?