Each division of the Boy Scouts of America has corresponding methods. These are geared to the age levels of the corresponding target youth. I believe that the methods of Venturing are important in understanding how the Venturing program benefits priests quorums. These listed methods are
I doubt I'm really suited to discussing any of these at length, as I consistently struggle to put many of them into practice. But I do think that a few comments are in order.
The method of leadership seems focused on two different aspects. One of these is that the crew should be youth run. In the deacons and teachers quorum, this Scouting concept typically equates well with the idea that the quorum should be guided by the quorum president. Technically, this direct analogy breaks down in the priests quorum because the bishop (an adult) is the quorum president. However, since priests are called as assistants to the bishop, they do still have some analogous responsibility. The second aspect is that each crew member should gain leadership skills and experience, though not necessarily through a crew officer position. Because the crew carries out business in committee fashion, assignments delegated to crew members serve as training experiences for later Melchizedek priesthood committee assignments.
As an aside, I try to keep in mind that the Aaronic Priesthood is a preparatory priesthood. In many instances, as I have tried to understand why the Aaronic Priesthood is organized as it is, and why Scouting plays such a prominent role in the training of young men, I have gained better insight into how the Melchizedek Priesthood should actually be functioning and organized. This, then, becomes one of the aims that I personally seek as I work with priests and try to help them look forward to their later experiences.
The second method I want to discuss is the Teaching Others method. This is novel to the Venturing program. I think it is closely related to the Recognition method. These both focus on competence of skills and knowledge. Helping young men develop appropriate teaching methods and providing opportunities for practice are essential preparations for missions, families, education, and church service. I feel that these older youth want more than superficial ability. Preparing to teach a skill leads to much better understanding.
Group activities provide opportunities for the crew to work together, to learn to cooperate, and to develop experience in planning (as well as leadership). I note that the reemphasis on Mutual as stated in the Guidebook for Parents and Leaders of Youth includes a similar aspect. Activities should help bind the group together and allow them to work together.