Kirby,
This is a common issue, where the OEM wants an arm and a leg, which is why companies like the one I work for exist. To substantiate your AMOC you need FAA approved data, which an FAA DER can provide.
You do not necessarily need a ton of analysis. However the bottom line is you need very solid reasoning why the repairing action you are doing meets the minimum level of safety put forth by the FAA.
First, determine if you need a static AMOC, and DT AMOC (is this even FCBS for the 777?), or both. I looked at the AD on the FAA RGL and it looks to me per paragraph (g) that the inspections do not need to start until some threshold per the SB (which I do not have to look at). There are other follow on inspection cases, but all after the initial SB except for (l) which has a hard time of 48 months. Remember, you do not need an AMOC until you will be out of compliance, which is the inspection threshold.
It looks like you are trying to take advantage of paragraph (p) to terminate the need for inspections, but your repair has gone awry.
In this case, all you should need to do is show that your design is at least as good as the SB repair statically (and in terms of DT if it is FCBS). And then present that to the FAA saying that you have removed the unsafe condition, except using an 8110-3 repair design similar to the SB / SRM. An additional comparative analysis may be your friend.
Here is what I would do:
1. Design the repair using your engineering judgement. Consult a reliable DER / other engineers who have TR sleeve experience / FAA as required
2. Statically substantiate it like any other repair is required to be
3. In your substantiation document, make an AD compliance section (this should be in there anyway). Be very detailed. Go over each paragraph of the AD and list how it is affected and why, and also describe the normal requirement and how you have affected it. In this case you would say, these inspections are required at some time in the future. They could be terminated using XXXXX but we have deviated. The substantiation herein shows the deviation meets the minimum level of safety etc.
4. Write an AMOC request letter outlining everything.
5. Send it to the FAA ACO handling post production support for the 777 in a package with the repair plan, 8110-3, and substantiation.
6. Be ready to answer questions.
AMOC requests can be daunting but they're really not that bad. I don't have expertise working this type of structure and not much experience with the 777 (I mostly work older aircraft support). But this is the type of thing certain companies specialize in.
Just make sure everything is clear, well presented, and has sound engineering behind it. The FAA will work with you as long as you have your ducks in a row so to speak.
Also, don't just take my word for it either - it is the ACO's JOB to help you through this.
Keep em' Flying
//Fight Corrosion!