If the Troop is that good, then absolutely, stick with it! Don't let one sour family ruin your experience. It seems long in the moment, but you'll be grateful you stuck it out in the end. Even if it goes two months, or two years, keep with it. If anything, it will make you that much more compassionate and helpful when YOU are a leader and you have a Scout going through similar experiences.
It now occurs to me that I noted while doing research on my own unit for "lost" Eagles that we had a number of long time senior scouts with possibly the needed requirements, but who were not on any list from the period. Two or three were carried on our charter throughout WWII, listed as "In Service" or similar wording. Wonder if any of their records should be reexamined; though they are all gone now as far as I know.