Thats pretty similar to what I used a few times. I ran the carrier LCs with 3 Tyrants. It was okay and basically always won by cap points with my Tyrants getting chased across the map. Novas were mostly just for anything that split from the chase to deal with the LC, or anything that got caught in a stasis.
Overall its better than trying to run 6x novas, but its still bad compared to what other factions have. Novas are just over priced and the battleship is some sort of special garbage.
Well, with the lances buff I think the Gothic is the best core for the fleet now. You can get a decent amount of them and take advantage of their lances now. I haven't done any math here, but I think you can probably squeeze 5 Gothics into a fleet comp or do something like an Ark Mechanicus and 3 Gothics?
Coming back to this topic a while later, AM is really struggling. I don't really see a reason to go for them over IN. I have put together better Nova fleets just using Dominators than anything AM can put out and their benefits don't do enough to justify their drawbacks. I'll cover this more in depth as I get better at the game though.
AM is paying a lot for novas which are useful only vs certain factions and/or bad players. Also, the reduced troop number hurt them a lot and macro accuracy is not really useful due to lack of long range macro ship.
They would benefit a lot for having (at least) Overlords AM style or the IN GC because ark mechanics is really meh for its cost.
Another possibility would be to let choose if cruisers take Nova or have another front weapon instead (perhaps a special torpedo launcher or additionnal front weapons, a special augur that gives scanning...).