Your first two lists look pretty good.
Is your battlecruiser accompanied by a torpedo cruiser? I didn't even realize that was an option. I haven't really looked at those new ships yet though. That's a much better escort option because it can have nuclear torpedoes.
List one has the potential to give up a pretty good battle log swing, but I would say of the three lists it would be the most fun to play.
List two is obviously well balanced. Almost to the point where it can't fall into a medium heavy type list. I'm thinking it might be better to go even more minimal on the battleship and force a second tier 2 in there.
The third list seems a bit iffy to me. The carrier is pretty squishy. I think that list could benefit from the biggest revision process.
Ultimately, I think this is the route I'm going to take, given that the other two lists require substantial painting that I won't have time for between now and NOVA, most likely!
Here is a polished version, which will probably be the one I submit:
+++ 800pt NOVA List (795pts) +++++ Terran Fleet (Standard Fleet) (795pts) +++ Tier 1 (170pts) +Battleship (170pts)····
Apollo Battleship (170pts)········
Apollo (170pts)············
Apollo (170pts) [Nuclear Torpedoes]
················
Nuclear Weapons, Weapon Shielding+ Tier 2 (385pts) +Cruiser Squadron (245pts)····
Hermes Cruiser (Uses Teuton Profile Below) (245pts)········
Aegis Shield Cruiser (50pts) [Aegis (50pts)]
········
3x Hermes (195pts)············
3x Teuton (195pts) [3x +1 HP (30pts), 3x Nuclear Torpedoes (15pts)]
················
Nuclear Weapons, Sector ShieldingDestroyer Squadron (140pts)····
Artemis Destroyer (140pts)········
2x Artemis (140pts)············
2x Artemis (140pts) [2x Nuclear Fore (Fixed) (20pts)]
················
Hidden Killer, Maneuverable, Nuclear Weapons+ Tier 3 (240pts) +Frigate Squadron (120pts)····
Armsmen Frigate (120pts)········
4x Armsmen (120pts) [4x Armsmen (120pts)]
············
Beam Weapons, Difficult TargetFrigate Squadron (120pts)····
Armsmen Frigate (120pts)········
4x Armsmen (120pts) [4x Armsmen (120pts)]
············
Beam Weapons, Difficult TargetCreated with
BattleScribeEssentially, I limited my upgrades on the BB and Cruisers to get a partial DD squadron in there. I know, I know...not a full squadron, and therefore not optimized. My other option would be to drop the destroyers, cut some upgrades, and squeeze in another cruiser squadron. Not sure which is better, but I like this one because the DDs open up some interesting tactical options.