I am so sorry you are having such a problem. It is definitely unique.
The only option is to get your dog declawed like a cat because even if you were to keep booties on her she would still get these infections.She could even develope gangrene and lose a foot or worse if this continues.
It is not fair to her to keep subjecting her to these painful and traumaic clippings At least she will be anestethized for the surgery. It will be a one time thing and once it is done that will be the end of it.
I hope all will be well. Please let me know how she is doing.
Sincerest best wishes,
Have it done with a lasar closure like we do cats. That will seal the nail beds and she should be mobile immediately because there will be no stitches: