When I was making suggestions to Brian last summer regarding the NF Permit issue, one of the things that he mentioned was that the FS would make "administrative permits" available to SAR organizations, such as CLMRG, for training missions. I'd have a conversation with him about it. You may not have to go thru the hassle of walk-in permits for a large group.
We know about this, have made full use of it, and are very thankful for it. A good thing for the rest of you is that these do not impact the quotas. A drawback for us is that we cannot take guests along, so up and coming people who are not yet members are excluded.
A benefit to Inyo is that we take radios along, so can function as an "already inserted" advance team, in case something comes up.
The requests we make through the regular channel are for groups of four for overnights; sometimes as large as six for day climbs. And, as I said, we got none of those this year.