Well there is no deterministic way of doing that. The issue is that all suffixes except the one from the essence are trash.
As you saw in the comments I believe you can’t whittle this too because essence mods have level of 1 so it will be the first to go.
The only way I think is to gamble here. Trying to annul suffixes with omen of sinistral annulment + greater annulment.
You have exactly 33% chance to erase bad suffixes.
From there you would be able to at least try with perfect exalts. If you hit good mod then just desecrate remaining suffix. And move to working on prefixes.
50 divs is not enough thought.
Another option, and correct me if I am wrong, is to try to annul all prefixes, desecrate and try to hit fracture. I am not sure if fracturing essence mods is possible. But that is the same chances 1 in 3 to brick this and again more than 50d budget.