If you train as a warrior in Farglow, you start off with 5 points in strength, so your first level I would suggest putting most or all your stat points into vitality. Train as a ranger and mage, as well; even if you don't want to go through the training area to test out those classes, you can sell the weapons.
After that (and it sounds like you are already past there) I'd guess 2 points into strength each level and 1 or 2 into vitality. When I got my vitality up to about 20 (including equipment bonuses) I stopped boosting it. There are no stat requirements on equipment, so you don't need to worry about boosting dexterity in order to use better bows (it does help with ranged damage and resistance, though). Even without investing in any ranger skills, a bow is quite helpful early in the game (to draw opponents to you, and get some damage in first), and should come in handy up to about the middle of the D2:ED section of DKS (in the original release of D2:ED my duel wielding warrior pretty much only used a bow after that to break crates, etc).
I have not put any points into intelligence, with my ranger, and have equipment bonuses that make up for the lack of magic resistance from that stat (though as a ranged character, at least outdoors arrows and most magic is fairly easy to avoid at mid to long distance). I never needed to look specifically for equipment with magic resistance, and in general the bonuses on armour are more important than the base resistances (which tend to be relatively similar on equipment of roughly the same quality).
Eventually you can rely on armour enchantments and equipment bonuses for a good chunk of your hit points and resistances.
I started my current character (the first in DKS) as a ranger with unarmed melee as a backup (roughly starting with 2 points into dexterity, 1 in strength and 1 in vitality). Melee was handy at the start of the game, but less so after around level 10 or 12, and non-existent from about level 14-20. I'm thinking of re-assigning my X button as Splitting Arrows (once I learn it) rather than melee attack, as I simply have not needed to fall back on melee combat for awhile. With only a bit of unarmed combat, I may start a new warrior character after I finish my current game. At first I think I will focus just on strength and vitality, but don't want to recommend that without trying it.
There is a stat cap of 100, so between equipment bonuses and possible charms, you will eventually reach the limit of whatever your primary stat is (strength, in this case). In D2:ED I boosted intelligence (for the resistance) and dexterity (for the ranged damage bonus and resistance, as well as bow requirements, which were removed in DKS), and didn't come close to maxing strength. In fact, I stopped assigning stat points at one point, to keep the game from becoming too easy (had 39 unassigned stat points on level 36).
In DKS an unarmed warrior will likely need to max strength, but with weapons, you can easily do enough damage even if you spread your stats out a bit. A couple people have mentioned distributing their stat points fairly evenly, but didn't give any details of their builds, that I recall (presumably they were using mixed 'class' characters).
