Rather than 25 corvettes I'd use 11 wings of strike craft, in attack groups based around the cheap GTB Boanerges, armed with some Stiletto bomb the size of a Helios (more technically: at least 10k subsystem damage per bomb).
This strike force would look more or less like this:
-3 wings of Boa bombers tasked with killing the Sathanas's engines (one wing per 2 engines; with each engine having 70k HP, they would need to score 7 direct hits on each one; they should come in wings of 5 or 6 to do the job faster)
-3 wings of Perseus fighters that would duke it out with enemy fighters (these ships should also come in wings of 6, one wing near the rear end, 2 on the sides of the front to cover bombers near each engine)
-1 wing of Erynies fighters for giving close escort to the bombers near the main engines (their large firepower would be usefull to quickly kill anything leaving the hangar bay)
-2 wings of Ares fighters, to provide area defence with Trebuchet missiles for the Boas attacking the 4 aux engines (one wing on the left and one on the right side of the Sath; they could actually come in wings of 2 and still do lots of damage).
-A few (2-3) wings of Artemis bombers would keep enemy turrets busy (and under constant attack)
That gives a total of 2-3 wings of 4 ships, 6 wings of 6 ships and 2 wings of 2 ships, or 52 ships max.
The whole idea is to disable the Sathanas, kill off as many fighters as possible, perhaps do some damage to any escorts, and then leave; all in 5-10 minutes not to allow the Shivans much time to swarm the place with fighters.
A single Hecate has around 150 ships on board. Let's say every single strike craft can go on a mission every 3 hours. Assuming there are no losses (or that replacements arrive just as fast as ships are lost) and that all units are dedicated to disabling Sathanasesesi's, each of the 80 Saths would be bombed every 3 days and 8 hours.
With 3 Hecates present, that would go to being disabled daily (or maybe: some Sathanases drifting in space, others needing engines fixed every couple hours).
Now enter the rest of the fleet (minus the few Aeolus cruisers escorting the Hecates) doing supply convoy hunts (or in case of Orions and Hatshepsuts and their strike craft- cruiser and destroyer hunts), and we might just have a chance in buying enough time to see what the Shivans' next unstoppable method of destroying us is.