Which means you have two ships with essentially identical throw weight in the broadside.
York:
Two bays each of 2 NL35 and 2 NL45
One bay with two NAC/30s
Congress:
Three bays each of two NAC/10s
One bay with a single NAC/30
One bay with a single White Shark
York has an edge at extreme range... but both are basically worthless at extreme range on broadside. [18 vs 3 damage]. The nose quad MNPPCs look scary... but they are pretty much only good for perhaps a couple salvos while closing before turning broadside because you don't want to cross your T. And if the Congress is competent, they are gonna turn their armor over or take it on the nose and you are back to square one.
York has better armor; 120/100/100/120 vs 75/72/72/75.
York has better acceleration; 4/6 vs 3/5. Which I suppose means a York could attempt to play keep away at extreme range and plink with it's aft quad NL45s... but that's also unlikely to be decisive and if the Congress tires of it, it can turn around and leave and force the York to come to it. The increased acceleration could be useful if it carried fighters but it isn't.
Bracketing is a bit of a wash. The NAC/30s on the York can do twin brackets, same as the three NAC/10 bays on the Congress. The Congress's NAC/30 can't bracket, while the York's NL batteries once into long range can bracket at will, but reduce themselves to being very ineffective by doing so.
Really, this is a fight both ships can win and it's gonna come down to luck [and crew skill]. The York's NAC/30 battery is a killer but requires a single good hit while the Congress's NAC/10 mounts are not quite as individually lethal but more likely to get a hit... but the York has 40% more armor then a Congress. The NAC/30 on the Congress is interesting... but the NL batteries are also interesting.
The wild card here is the White Shark. Which could potentially get a crippling hit in with a critical at extreme range.