Recipe level 55, Difficulty = 233, Maximum Quality = 2921
Comfort Zone
Inner Quiet
Steady Hand II
Basic Touch (118)
Basic Touch (137)
Basic Touch (157)
Basic Touch (176)
Basic Touch (196)
Manipulation
Steady Hand
Standard Touch (270)
Great Strides
Innovation
Ingenuity
Byrgeot's Blessing (1694)
Careful Synthesis II x 3
= 2748 Quality for 359 CP
I make that 2748 with 340 Control...?
The endgame i55 synths require 2646 quality, but i70 synths require 2921 Quality.
The above rotation is however more powerful than that of the OP, and should be able to HQ 100% One-Star gear but not Two-Star gear.
- - - - - - - - -
If you want to refine that rotation further: Adding Innovation doesn't use up any Durability because it isn't a Touch or Synthesis action but a buff. You can drop Innovation and swap the single Standard Touch for two "Basic Touches" for a better return (though you'll need to swap Steady Hand to Steady Hand II to get them up to 100% hit chance)
Comfort Zone
Inner Quiet
Steady Hand II
Basic Touch (118)
Basic Touch (137)
Basic Touch (157)
Basic Touch (176)
Basic Touch (196)
Manipulation
Steady Hand II
Basic Touch (216)
Basic Touch (237)
Ingenuity
Great Strides
Byrgeot's Blessing (1647)
Careful Synthesis II x 3
= 2884 Quality for 348 CP
(That's very nearly at the 2921 cutoff!)
Refining this further, by using a Basic Touch AND a Standard Touch:
Comfort Zone
Inner Quiet
Steady Hand II
Basic Touch (118)
Basic Touch (137)
Basic Touch (157)
Basic Touch (176)
Basic Touch (196)
Manipulation
Steady Hand II
Basic Touch (216)
Standard Touch (296)
Ingenuity
Great Strides
Byrgeot's Blessing (1647)
Careful Synthesis II x 3
= 2943 Quality for 362 CP
That would surpass the 2921 cutoff and can be considered a "100% HQ" rotation providing that you don't get an Excellent condition on either of the "Steady Hand II"s (if an Excellent Condition lands on "Great Strides" then you can skip it and just use Byregot's Blessing right away)
In order to eliminate the possiblity of a rogue Excellent condition landing on a "Steady Hand II", we can either use Observe; or a low-cost buff like Innovation.
Comfort Zone
Inner Quiet
[Innovation possibility #1] - ONLY USE IF CONDITION IS EXCELLENT
Steady Hand II
Basic Touch x5
Manipulation
[Innovation possibility #2] - ONLY USE IF CONDITION IS EXCELLENT
Steady Hand II
Basic Touch
[Use Basic Touch now if Innovation has been needed, use Standard Touch if it hasn't]
Ingenuity
Great Strides
Byrgeot's Blessing (1647)
Careful Synthesis II x 3
= (if innovation used) either 2981 or 2988 Quality for 366 CP
This is what most people would consider a "proper" 100% rotation.
The only way for it to fail to be 100% would be if you get TWO Excellent conditions in exactly the wrong places - one on both of your "Steady Hand IIs". You can remove any danger from this extremely remote possibility by increasing your control to 343 - this would give you enough of a buffer to safely weather an excellent condition on the First Steady Hand II, meaning that you only need to use Innovation if you get an excellent condition on the SECOND "Steady Hand II".
That last rotation actually isn't half bad and should be doable with 347 Craftmanship, 340 Control (or 343 if weathering that first Excellent!) and 366 CP; but it would require you to be aware of your condition modifiers and have considerably more cross-class skills available than listed in the OP.