The dragon disciple prestige class has various stat increases as one of its main selling points. the ability directly compares it with level up increases, so it should stack with everything.
Alchemists can boost their strength through their mutagen. Not exactly what you seem to be looking for, but it is a consistent class feature that can eventually use used all day at later levels.
+1 / +2 / +3 / +4 / +5 STR (You gain a +1 enhancement bonus to one physical ability score (Strength, Dexterity, or Constitution)
-> Take 1 / 5 / 10 / 15 / 20 Lvl Wizard - Transmutation School
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A final question- is it possible to make an item that gives you a continuous bonus to your strength that ISN'T an enhancement bonus?
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|+2 / +4 STR (These increases stack and are gained as if through level advancement.)
-> Take 2 / 4 Lvl Dragon Disciple
Requirements for the Prestigeclass Dragon Disciple:
Race: Any non-dragon.
Skills: Knowledge (arcana) 5 ranks.
Languages: Draconic.
Spellcasting: Ability to cast 1st-level arcane spells without preparation. If the character has sorcerer levels, he must have the draconic bloodline. If the character gains levels of sorcerer after taking this class, he must take the draconic bloodline.
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+2 STR (The target gains a +2 size bonus to Strength, a -2 size penalty to Dexterity (to a minimum of 1), and a -1 penalty on attack rolls and AC due to its increased size.)
-> Make Enlarge person permanent with a permanency spell
As for the last, a magic item with a continuous rage spell would provide a morale bonus,
...and ensure that no-one will want to adventure with you :-p
Ah, I was reminded of another prestige class that can raise ability scores:The Pain Taster.
On the first level, it allows you to set up a one hour/day training routine that can raise any single ability score of your choice by +2 (enhancement bonus). There is a 2,000 go fee when you first do it, and again if you want to change the ability score, but after that it is free. The prestige class's capstone (at 5th level) is that you get another +2 to throw around as you choose (two ability scores by +2 or one by +4)
There are also other....more colorful class features: +1 to attack and damage if you had lethal damage last round (even if you did it), damage reduction, sneak attack dice that only apply to slashing weapons and whips (and it always applies to whips, even if you couldn't get normal sneak attack...)
Enhance Form (Body) Word of Power is sexy.
"The target of a wordspell with this effect receives a +4 enhancement bonus to either Strength, Dexterity, or Constitution (caster's choice). The target can end a wordspell with this effect word prematurely as a swift action, gaining a +8 enhancement bonus to the ability score until the end of the target's turn."
tack on rage from the wildstalker ranger under morale as well (same as barb, in case people dont wanna use a barbarian for whatever reason)
The Greater Hat of Disguise allows you to use Alter Self. If you use Alter Self to turn into a medium humanoid you gain a +2 size bonus to Strength. The item is from the Pathfinder module Curse of the Riven Sky, so it might not be available in a lot of games. I find the idea of disguising myself as myself with +2 Str or Dex pretty amusing though.