So I found a couple candidate J fares that are partially self-dumping given the right conditions. I understand the specific circumstances under which this happens, but I'm having issues trying to book my preferred itinerary. They can be priced on ITA for most dates, but I've only found a couple of dates that are actually bookable through the carrier's booking engine. Naturally, the bookable dates are impossible for my schedule...

All the other dates I've found are bookable through one of the carrier's foreign websites, but the dump is eliminated in the process. Any suggestions how to handle this sort of thing? I'd rather not post any specifics here for obvious reasons, but I'd be happy to share what I've found by PM if anyone is willing to provide some guidance.