Overcharge the BGreen. Make it launch fighter and bomber swarms. And keep it away from anything having anti-cap weaponry.
Well it's what a decent Hecate commander would do, although you could have it take up an effective part in an anti-ship/installation op. You could perhaps divert energy from blobs and such to beams, place a bit of faith in your escorting pilots, have the gunnery controlmen know that they may have up to five seconds warning about power being drained from beams to supplement anti-fighter armament as a contingency as well as fighters on two minutes readiness (sitting in the bay, engines turning) to launch if the hull starts having a hard time.
Hecate forms base of fire for the engagement, with the overcharged beam suppressing hostile elements and with any luck, taking out a vital system or two on the target(s), as well as said Hecate being flanked by Aeoluses and other cruisers for close support if available. Smallest credible threat to target(s) is presented by Hecate and co.
Corvettes and cruisers form the assault group, and seek to jump in on the target's flank once the enemy has responded to the Hecate threat (hopefully by diluting main force concentration in favor of flanking, formulate appropriate contingency prior). Once in the field, assault group flanks and will attempt an aggressive encirclement based on target's defensive fields of fire and whether the opportunity becomes available.
Concurrent to this, Admiral and CIC staff on the Hecate are coordinating the operation and deploying the vessel's air wing to support the assault and patch gaps in any elements. Important here that a reserve be maintained.
* Dilmah G reads back and realises he's been playing a little too much Close Combat.
