I can't look at this objectively and I also don't have my 3E books on me.
So just to prove (or be disproved) on my point that that rat bastard Andy Collins killed a perfectly good non-magical sword-based class archetype in 3.5E, I'm putting through a fighter on the SGT. Levels 5, 10, and 15.
You were something like this: Elven Fighter 4 / Ranger 1 / Order of the Bow Initiate 2 (you want close combat shot and ranged sneak attack so hard) / Peerless Archer 4 (you want ranged sneak attack, fletching +2 for spell-storing arrows, power shot, and sharp shooting so hard) / Deepwood Sniper 2 (you want keen arrows, concealment reduction 10%, and improved criticals so hard) / Order of the Bow Initiate 8 (rest of the levels continue to give you sneak attack and some pretty nice class features to boot, such as improved Weapon Specialization to make up for that sneak attack bonus you're not getting, +WIS + 1 bonus to attacks, and opportunist).
Suggested Feats:
1: Point Blank Shot, Rapid Shot
2: Weapon Focus: Composite Longbow, Precise Shot
3: Far Shot
4: Weapon Specialization: Longbow
6: Manyshot (there's some dumbass item somewhere that handed out Quick Draw--I forgot which one, but if not, you can just be a human instead)
9: Improved Critical
12: Zen Archery
15: Hamstring
Restrictions: You can only use 3.0E sourcebooks, only use 3.0E books (i.e. haste works the same way it did back then), and only FULLY 3.0E sourcebooks (so no Miniatures Handbook or Savage Species). You can't get any direct help from spellcasters for buffs, but you do have standard WBL to blow on a 3.0E item.
Suggested Items:
Wings of Flying Boots of Springing and Striding, some haste item, Oathbow, Bracers of Archery, something to help you see invisibility/have true seeing, a ring of blink, some ghost touch arrows, infinite arrow quiver.
If you have any feat or item suggestions/swaps that you think would help, feel free to share them.