KM has the longest range but are very hard to play well, their damage is very low, and their accuracy (spread) is literally hit and miss in some ships.
SN is probably the closest to your "precise shooting at long range" ideal.
but range in NF isn't everything and even though you THINK it's your playstyle you might find it doesn't work that way. It isn't that simple and the nations with long range might not suit you for other reasons. For a start they are very hard and unforgiving to play!
I will offer some advice because I had a very similar problem, hating being outranged playing IJN. Even when I got the Nagato (equivalent to your SoDak and with slightly better range) I was still unhappy with my range.
I then got all my supports sorted out and good (speed capped ship, decent OH time, 900 SD and reasonable repair) and learned how to play rushing, which is what you need to do no matter what nation you are because BB2/3 will ALWAYS be outranged by BB4/5.
I asked for advice and I took it and practiced. I then actually went back to my Fuso and chose the guns that had SHORTER range for more firepower, and never looked back!
have a think about that. There are a lot of people who can help you (see the 2 above) but you have to be prepared to be polite and take good advice on board.
I wish you the best of luck!
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