How did you set up the dual phase lance Eagle? i find the Phase Lances too short ranged compared to autocannon, and enemies will just keep out of range. Did you have to put Advanced Optics on it?
My current build is 3xAutocannons, 1xIon Beam, 2xPhase Lance, and 5xPd Lasers, Advanced Optics and ITU. When I first got the Eagle it was a lucky find when I was still using frigates (1D mod - Just less hull points, which is fantastic!) so was actually running Augmented Engines, DTC, 2xAutocanon and 1xHeavy Mortar to fight Pirates and Ludds (same beams, no advanced optics). Having 24 less OP (and no loadout design) made things a bit tight, but having a slightly under-powered Eagle running around at frigate speeds was actually really nice.
Advanced optics: TBH the phase lances don't need the range, but the PD lasers really want them! The Phase Lances are almost entirely finishers, so I won't even fire them unless shields are very stressed. The reason the Lances don't need the range is...
Even with a long range load out on the eagle/falcon, short ranged lances can be nice for finishing targets up close when knocked offline by kinetics. And with their speed they can easily pull it off whenever needed.
This! Even an Eagle can dart forward and 'pop' a high flux frigate or destroyer. Its a fantastic ship system for kinetics + lances: The enemy will come to you when they are low on flux, but it takes them a while to reverse course and get out of range. The system lets you get in during that transition and mess them up. The single Ion Beam helps also if it knocks out engines.
So I'm basically running the Eagle in two modes (I do this on a lot of my favorite ships, as I overgun almost always): 'Long' range consisting of the Autocannons and Ion Beam. Could switch to HVD's but I don't have the blueprints, and to be honest I prefer the DPS over the range. At long range the Eagle does quite reasonable anti-shield DPS, and the Ion forces the enemy to keep shields up or lose guns/engines. Then, if/when the enemy flux is high, I switch off the Ion Beam, move in on jets, and start cracking armor with the Phase Lances. Turning off the Ion Beam helps a lot with flux management (and I often turn the shield off now as well if the enemy has been suppressed enough to not be firing much).
I am considering dropping Advanced Optics again and changing the PD lasers to LRPD, but I really like the close in DPS for dealing with fighters so I've been holding off. Its not like the increased range on the phase lances (and Ion Beam) is
bad its just not strictly needed.
I would use only Phase Lance with Advanced Optics on Falcon or Eagle. Because those are set far back from ballistics, I would consider using Arbalests instead of Heavy Autocannon, for the ranges to match better. Of course, Heavy Autocannon has better DPS. Then again, the flux spikes from Phase Lances would probably make the efficient Arbalest more appealing.
Depends on how you want to fly it, but the key thing is that you aren't using the phase lances all the time - they are finishers and anti-fighter - so its ok to be overfluxed. The Eagle can handle 3x Autocannon + Ion Beam flux neutral, so when battering down the shields there isn't much need for greater efficiency. When firing the lances, in general you are dumping your flux reserve into a kill anyways (and you can safely vent much of the time, because phase lances will knock out guns very well on the second or third shot). I don't value range matching very much in mobile ships like Falcons and Eagles, though its a big concern on Dominators and Onslaughts.