Which non-CPAP treatments have strongest evidence for my type of apnea?

The short version: the evidence retrieved is empty, so I still cannot answer your question from the data provided.

The evidence block contains zero studies on sleep apnea treatments. No trials of oral appliances, positional therapy, weight loss, or any non-CPAP intervention were retrieved. Without evidence, I cannot tell you which therapy has the strongest support for your specific apnea type.

My call: the evidence retrieved does not address this question. Confidence: not clear. The gap itself is the finding—no data was provided to judge.