I usually like to work from the Weapons Coordinator Station when my ship is in a high missile threat area. I also switch to Weapons Control when I need to release weapons against air, surface, or missile targets. Other things I like to do in the FFG:
1. I utilize helos to the maximum. I always carry two and like to have both in the air when/if possible. I have one with ASW loadout for sub-hunting, and the other in ASuW(or Strike/near land threats) and REMRO to give my FFG better OTH radar coverage. When using the MH-60 with ASuW loadout, I have an additional dedicated anti-ship missile to use. And can fire that one from a different axis.

And I can still use the ASuW helo to prosecute sub-surface targets if need be.
2. When I'm in a high threat area (which is 99% of the time in DW), I always load an SM-2. I do this because I can both defend against aircraft and missile threats, or I can attack an enemy surface ship if I need to. It goes without saying, in an ASuW engagement, I will load a Harpoon my next reload if time and conditions permit. This part requires situational awareness of your current battlespace. i.e. What type of surface ships are you engaging? Do you have any mutual support? Are their anti-ship missiles in the air? Are these missiles headed your way? What is the range to target? etc. etc. etc. And in modern naval warfare, you have to be a quick thinking captain.
3. SeaQueen mentioned it above, and I can't reiterate it enough. Take along an AEGIS ship and become part of a SAG. When I've done this, the AEGIS ship has done most of the AAW and ASuW work, leaving me to focus solely on ASW and supporting the AEGIS ship where necessary in the ASuW/AAW role. AFAIK, this type of teamwork is the most realistic in terms of real-world Ops anyway. And with this in mind, you can fully utilize your Perry Class ship in the ASW role. Me and an Arleigh Burke once destroyed an enemy Russian SAG escorting cargo ships in the North Atlantic. Their supporting Akula fired a few SS-N-27's. The Arleigh Burke destroyed these incoming missiles, and my helo(Me in ASTAC) destroyed the Akula. SAG teamwork is your strength.
4. Turn your CIWS to Auto in a high threat area. Full auto will most likely destroy any SM-2 or Harpoon missiles you fire. Only go full auto when you're not around any friendlies and you're out of missiles. Any thoughts from other Perry Class Captains?
These are just a few things off the top of my head.
Sea Demon