In my opinion, unless you're willing to pay for a goatload of tactical lasers, the Conquest just isn't a good swarm stomper.
Yeah. A solo Conquest has to take into account what kind of fleets it can catch, and then outfit very exactly to those threats.
Hmm, depends on whether I can get PD lasers and four Mjolnirs.
I'd go PD everywhere with ITU, plus two grav lasers, railguns, and quad Pilums - the swarm ends up being very much like a fighter escort. Definitely needs at least armoured mounts + bonus gyros, as it doesn't have a full shield.
If I could get Mjolnir, I'd use those and railguns. If I couldn't get PD, I'd go with tac lasers and integrated PD AI. If I couldn't load down with Mjolnir, I'd check to see how effective the hypervelocity's EMP was at keeping things locked down, and use Hephaestus in the large mounts.
Depending on how much the defensive hull mods cost, I might not even use large ballistics at all. Pretty much overkill against frigates, and doubtless the real issue will be fighters.
Actually I think I might go try this now.