Thanks to Jeff, Ethan and Timothy for supplying the warships from High Passage, at least now I have another couple of possibles for LoS Naval Component fighters.
The following OrBat for the Federation of Alsas is taken from 'Privateer' by Bill Sweetman, published by Star Quest Games in 1994, though it may have been published earlier elsewhere.
From what's in there the Federation does not have a single navy, rather some members have their own forces and others rely on these for protection.
Tinahely
1 x Scout
1 x Armed A2 Class Trader
2 x SBD
Odugama
16 x Type R Merchant (Armed)
Afellahlah (Capital of the Federation)
6 x Type R Merchant (Armed)
4 x Gazelle Class Escorts
2 x Fer de Lance Class DE
3 x Cruisers (2 x Broadsword Class, 1 x Kinunir Class, the Kinunir Class is currently non-mobile due to lack of spares)
8 x Scouts
6 x SDB
Afellahlah has sufficient spares for all TL-15 ships except the Kinunir Class Cruiser.
This brings up another point, here is the TLs for which the three states I am covering can supply spare parts up to, this is based on the system with the highest tech level.
Descarothe Hegmony: TL-9
League of Suns: TL-12
Dominion of Alntzar: TL-12
All of the Zhodani ships specifically mentioned in the FASA books as being in the Hegmonic Navy (and by extension in the Dominion vary in TL from between TL-9 to TL-14
The ships I'd identified as possibles for the League navy vary between TL-9 to 15.
Something else that I am going to have to consider. The Hegemony's navy is described as 'formidable' but most of their combat experience has been in forcing less well equipped systems to submit. On the occasions they've skirmished with the League prior to 1108 it seems that the League's government has 'blinked' rather than pushed the issue.
The League's naval component is likely to be well drilled, but lack large scale combat experience, beyond whatever has been gained in the various clashes with the League. On the other hand there is no evidence that the League has officers promoted for their political connections as is described for one of the Hegmonic officers in 'Fate of the Sky Raiders'.