@Fox800
the way you start the process is by showing up, in-person, at one of the monthly wednesday-night meetings. there's one tomorrow night, Sept 6th, at the SR5 Trap/Skeet range, 1900. You have to get there before 1900, because they lock the Kolekole gate when the meeting starts. 1830 is good.
Trap/Skeet calender shows a club monthly meeting scheduled for Sep 6th: https://www.srgchi.org/calendar.html
map to SR5 (meeting location) here, bottom right of the page: https://www.srgchi.org/rifle--pistol.html
be advised that the short road from Trimble Rd down to SR5 is not paved and very rough, potholes & ruts, not recommended for low-ground-clearance sports cars and such. might be construed as a obstacle course for Mazda Miata's.
Attending the monthly meeting to apply to join this elusive & secretive club is probably spelled out in one of the membership documents, such as the club bylaws, para 4.3, posted under the governance tab:
https://www.srgchi.org/publications.html
the membership application form is under the "forms" tab.
membership application policy, and PAM policy is under the "club policies" tab.
club officers are all volunteers, and do this in their spare time.
If you're so inclined, you're more than welcome to actively participate in the meeting, and when the membership director gives his monthly report, you can raise your hand and deliver hellfire-and-brimstone and raise holy hell about how you really feel, and I'm sure the membership committee will appropriately annotate this on your pending application and prioritize your processing. 
all part-and-parcel of the so-called "cost of living in Hawaii", nobody every makes it easy.
Thanks for the help. I was frustrated because people were occasionally replying, but they would not actually tell me anything of substance.
Asked if they were still accepting PAM applications and how to apply, ignored.
They asked for a brief bio, I provided it, then was ignored.
Tried to follow-up multiple times across several months, ignored.
You're the first person to actually help me! Thank you.