While looking at the feat Weapon Finesse the FAQ/Errata caught my eye.
If I have Weapon Finesse, can I apply my Dex bonus to my combat maneuver checks instead of my Strength bonus??
It depends on what combat maneuver you're attempting. Disarm, sunder, and trip are normally the only kinds of combat maneuvers in which you’re actually using a weapon to perform the maneuver, and therefore the weapon’s bonuses apply to the roll. Therefore, if you're attempting a disarm, sunder, or trip maneuver, you can apply your Dex bonus instead of your Str mod on the combat maneuver check (assuming you're using a finessable weapon, of course).
And a fighter with the Archer Archetype can use combat maneuvers with bows thanks to the trick shot ability;
At 3rd level, an archer can choose one of the following combat maneuvers or actions: disarm, feint, or sunder. He can perform this action with a bow against any target within 30 feet, with a –4 penalty to his CMB. Every four levels beyond 3rd, he may choose an additional trick shot to learn. These maneuvers use up arrows as normal.
At 11th level, he may also choose from the following combat maneuvers: bull rush, grapple, trip. A target grappled by an arrow can break free by destroying the archer’s arrow (hardness 5, hit points 1, break DC 13) or with an Escape Artist or CMB check (against the archer’s CMD –4).
So, since it's established that if you use a finessable weapon to perform a combat maneuver with weapon finesse feat you can use your dexterity modifier in place of strength, am I correct in assuming that since you already add your dexterity to ranged attack rolls you use dexterity modifier instead of strength with Trick Shot without needing weapon finesse?