Hey Saito, I think there's an arcane archer subtype available out of fighter in current 5e, have you looked at that?
Also, if you're interested in Pathfinder-to-5e conversions and reimaginings, I have a link to a really top notch alchemist class*, derived from pathfinder but designed and balanced for 5e (full class, six subclasses, all supporting documentation), that I think is a much more satisfying alternative to 5e's new artificer ^.^
*Niara has a certain amount of personal bias here.
I looked into the actual Arcane Archer archetype for Fighters but I got the impression that they aren't capable of actual spellcasting, but they did get magical arrows (that people seem to think is far too restricted in terms of uses per day). Actually I think Arcane Archer has a decent shot of making it into BG3 from what I hear. Maybe they could do something really neat with all of the magical arrows in BG3, or be rendered obsolete by them.
Right now I want to run College of Valor Bard with Sharpshooter feat, though it depends on the Sharpshooter feat actually making it into BG3 in the first place. It's pretty much the exact same build my tabletop character runs, and I am already running it in BG3 with the Bard mod (though without Sharpshooter). It is surprisingly frighteningly effective at tanking too, especially since the game currently has shield bonus to AC apply even with the bow pulled out. I have not looked into everything else being suggested though, that's something I'll have to do...
Eldritch Knight option seems neat, actually. I think I'll need the warlock pact of the blade option explained though.