What non surgical labiaplasty method would be most effective for shrinking?

There isn't a non surgical energy based device that would reduce the size of your labia. I'm not clear on what you mean by "surgical labiaplasty risks". This is a very safe procedure that would not exacerbate your "residual pudendal neuralgia". Actually, your upcoming prolapse surgery is more likely to do so.
Go to the link below to see hundreds of before and after photos where you will find many examples of women who had their prolapse and labial hypertrophy concerns addressed at the same time. From that link you can schedule a virtual consultation via phone or zoom, at which time we can discuss in depth your anatomy, expectations and concerns. Women from all over the world travel to my Center for their Intimate Makeover.
Best of luck,

Regular morpheus8 or morpheus body can provide a wonderful labiaplasty option with just topical anesthesia for one hour before procedure. all parts of the suprapubic area, labia minora, labia majora, perineum and perianal areas can be gtreated with minimal discomfort and quicker recovery. The lack of tumescent anesthesia often used with the other methods is nice as well because you do not have to have it leak out of the tissue for up to two weeks afterward

HI customframes,

It is very difficult to answer your question without photos. If you have a lot of tissue , none of the
non surgical methods listed above will help to a significant degree. If there is a small amount of excess tissue , we have found the DIVA to be helpful.
If you have a large amount of labia minora tissue, it is unlikely to have further loss of sensation in this area with a straightforward trim labiaplasty in experienced hands.
Again, pictures would be of enormous help here.

Best,
Dr. Christine Rodgers