i use the strength score it had in life, if you dont know what it had wing it.
How do such creatures use Ghost Touch items if they have no str score? Do you consider them to have a str of 10 (for a Shadow Dancer's summoned shadow, for example)?
You use it's DEX score.
"It has no Strength score, so its Dexterity modifier applies to its melee attacks, ranged attacks, and CMB."
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Yar!
RAW, it doesn't matter, because Ghost Touch counts as both corporeal AND incorporeal, taking whichever modification is most beneficial to the user.
That is a reference to the special quality of incorporeal, not the subtype.
An incorporeal creature has no physical body. It can be harmed only by other incorporeal creatures, magic weapons or creatures that strike as magic weapons, and spells, spell-like abilities, or supernatural abilities. It is immune to all nonmagical attack forms. Even when hit by spells or magic weapons, it takes only half damage from a corporeal source (except for channel energy). Although it is not a magical attack, holy water can affect incorporeal undead. Corporeal spells and effects that do not cause damage only have a 50% chance of affecting an incorporeal creature. Force spells and effects, such as from a magic missile, affect an incorporeal creature normally.
An incorporeal creature has no natural armor bonus but has a deflection bonus equal to its Charisma bonus (always at least +1, even if the creature's Charisma score does not normally provide a bonus).
An incorporeal creature can enter or pass through solid objects, but must remain adjacent to the object's exterior, and so cannot pass entirely through an object whose space is larger than its own. It can sense the presence of creatures or objects within a square adjacent to its current location, but enemies have total concealment (50% miss chance) from an incorporeal creature that is inside an object. In order to see beyond the object it is in and attack normally, the incorporeal creature must emerge. An incorporeal creature inside an object has total cover, but when it attacks a creature outside the object it only has cover, so a creature outside with a readied action could strike at it as it attacks. An incorporeal creature cannot pass through a force effect.
An incorporeal creature's attacks pass through (ignore) natural armor, armor, and shields, although deflection bonuses and force effects (such as mage armor) work normally against it. Incorporeal creatures pass through and operate in water as easily as they do in air. Incorporeal creatures cannot fall or take falling damage. Incorporeal creatures cannot make trip or grapple attacks, nor can they be tripped or grappled. In fact, they cannot take any physical action that would move or manipulate an opponent or its equipment, nor are they subject to such actions. Incorporeal creatures have no weight and do not set off traps that are triggered by weight.
An incorporeal creature moves silently and cannot be heard with Perception checks if it doesn't wish to be. It has no Strength score, so its Dexterity modifier applies to its melee attacks, ranged attacks, and CMB. Nonvisual senses, such as scent and blindsight, are either ineffective or only partly effective with regard to incorporeal creatures. Incorporeal creatures have an innate sense of direction and can move at full speed even when they cannot see.
Bolding is mine. Thus, when an incorporeal creature grabs a ghost touch weapon/armor, it is considered to have no weight.
Also: because the ghost touch ability (armor version and weapon version) says that they (incorporeal creatures) can lift/use it.
EDIT: however, if you absolutely must have a stat used to give carrying capacity to incorporeal creatures with regards to ghost touch items (and their "weight"), then RAW you're simply out of luck. However, I would recommend using Charisma. Charisma is their force of personality, after all. Charisma is also often called the "mental Strength", whereas Wisdom would be "mental Constitution", and Intelligence "mental Dexterity". For stat substitution, that makes the most sense to me.
~P
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That would be for melee attacks and such...but we're talking lifting ability here. Ghost touch tiems still have a weight.
Since the text of 'Ghost Touch' states that they count as both corporeal and incorporeal I have always rules that they don't have weight when picked up by an incorporeal creature. At that point they switch to 'incorporeal mode' and the creature can move them around just as if they were a ghostly weapon. Including walking through walls with the item.
Whether a corporeal creature can use a ghost touch weapon to stab a ghost through a wall is another question. It has to be partially incorporeal to hit the creature normally... but partially corporeal for the wielder to be able to hold it. I've ruled that the item always switches to the state of the wielder for purposes of interaction with inanimate matter, but remains in both states for purposes of creatures of either type. So, a ghost can use one to stab through a wall, but a corporeal creature could not... and either of them could attempt to disarm a ghost touch weapon held by the other.
So use CHA for damage bonus?
That is what I used to do in 3.5. I think it is the best option.